{"id":36676,"date":"2022-02-18T14:22:52","date_gmt":"2022-02-18T08:52:52","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=36676"},"modified":"2022-02-28T13:19:21","modified_gmt":"2022-02-28T07:49:21","slug":"cbse-previous-year-question-papers-class-12-maths-2017-delhi","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/cbse\/class-12\/maths\/cbse-previous-year-question-papers-class-12-maths-2017-delhi\/","title":{"rendered":"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/cbse\/class-12\/maths\/cbse-previous-year-question-papers-class-12-maths-2017-delhi\/#CBSE_Previous_Year_Question_Papers_Class_12_Maths_2017_Delhi\" title=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi\">CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/cbse\/class-12\/maths\/cbse-previous-year-question-papers-class-12-maths-2017-delhi\/#CBSE_Previous_Year_Question_Papers_Class_12_Maths_2017_Delhi_Set_I\" title=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi Set I\">CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi Set I<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/cbse\/class-12\/maths\/cbse-previous-year-question-papers-class-12-maths-2017-delhi\/#CBSE_Previous_Year_Question_Papers_Class_12_Maths_2017_Delhi_Set_II\" title=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi Set II\">CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi Set II<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/cbse\/class-12\/maths\/cbse-previous-year-question-papers-class-12-maths-2017-delhi\/#CBSE_Previous_Year_Question_Papers_Class_12_Maths_2017_Delhi_Set_III\" title=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi Set III\">CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi Set III<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_Previous_Year_Question_Papers_Class_12_Maths_2017_Delhi\"><\/span>CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Time allowed: 3 hours<br \/>\nMaximum marks : 100<\/p>\n<p>General Instructions:<\/p>\n<ul>\n<li>All questions are compulsory.<\/li>\n<li>The question paper consists of 29 questions divided into four sections A, B, C and D. Section A comprises of 4 questions of one mark each, Section B comprises of 8 questions of two marks each, Section C comprises of 11 questions of four marks each and Section D comprises of 6 questions of six marks each.<\/li>\n<li>All questions in Section A are to be answered in one word, one sentence or as per the exact requirement of the question.<\/li>\n<li>There is no overall choice. However, internal choice has been provided in 1 question of Section A, 3 questions of Section B, 3 questions of Section C and 3 questions of Section D. You have to attempt only one of the alternatives in all such questions.<\/li>\n<li>Use of calculators is not permitted. You may ask for logarithmic tables, if required.<\/li>\n<\/ul>\n<p><span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT366Exact\"><span style=\"color: black\">**Answer is not given due to the change in present syllabus<\/span><\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"CBSE_Previous_Year_Question_Papers_Class_12_Maths_2017_Delhi_Set_I\"><\/span>CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi Set I<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Section \u2013 A<\/strong><\/p>\n<p>Question 1.<br \/>\nIf A is a 3 \u00d7 3 invertible matrix, then what will be the value of k if det (A<sup>-1<\/sup>) = (det A)<sup>k<\/sup>. [1]\nSolution:<br \/>\nGiven, A is an invertible matrix.<br \/>\n\u2234 A. A<sup>-1<\/sup> = I<br \/>\n\u21d2 det (A.A<sup>-1<\/sup>) = det (I)<br \/>\n\u21d2 det (A).det(A<sup>-1<\/sup>) = 1 [ \u2235 det(I) = 1]\n\u21d2 det (A), (det A)<sup>k<\/sup> = 1 [\u2235 det(A<sup>-1<\/sup>)=(det A)<sup>k<\/sup>]\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129445\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-1.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 1\" width=\"216\" height=\"89\" \/><br \/>\non comparing both sides, we get<br \/>\nk = -1<\/p>\n<p>Question 2.<br \/>\nDetermine the value of the constant \u2018k\u2019 so that the function f(x) = \\(\\left\\{\\begin{array}{l}{\\frac{k x}{|x|}, \\text { if } x&lt;0} \\\\ {3, \\text { if } x \\geq 0}\\end{array}\\right.\\) is continuous at x = 0. [1]\nSolution:<br \/>\nGiven, that the function is continuous<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129446\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-2.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 2\" width=\"364\" height=\"94\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129447\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-3.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 3\" width=\"297\" height=\"195\" \/><\/p>\n<p>Question 3.<br \/>\nEvaluate: \\(\\int_{2}^{3} 3^{x} d x\\). [1]\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129449\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-4.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 4\" width=\"361\" height=\"250\" \/><\/p>\n<p>Question 4.<br \/>\nIf a line makes angles 90\u00b0 and 60\u00b0 respectively with the positive directions of X and Y-axes, find the angle which it makes with the positive direction of Z-axis. [1]\nSolution:<br \/>\nWe know that:<br \/>\nl<sup>2<\/sup> + m<sup>2<\/sup> + n<sup>2<\/sup> = 1 \u2026(i)<br \/>\nand l = cos \u03b1, m = cos \u03b2, n = cos \u03b3<br \/>\nGiven, \u03b1 = 90\u00b0, \u03b2 = 60\u00b0<br \/>\n\u2234 cos \u03b1 = cos 90\u00b0 = 0 and cos \u03b2 = cos 60\u00b0 = \\(\\frac{1}{2}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129450\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-5.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 5\" width=\"340\" height=\"318\" \/><\/p>\n<p><strong>Section \u2013 B<\/strong><\/p>\n<p>Question 5.<br \/>\nShow that all the diagonal elements of a skew symmetric matrix are zero. [2]\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129451\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-6.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 6\" width=\"343\" height=\"210\" \/><br \/>\nHence, all the diagonal elements of a skew, symmetric matrix are zero (as diagonal elements are : a<sub>11<\/sub>; a<sub>22<\/sub>, \u2026\u2026.. a<sub>nn<\/sub>). Hence Proved.<\/p>\n<p>Question 6.<br \/>\nFind \\(\\frac{d y}{d x}\\) at x = 1, y = \\(\\frac{\\pi}{4}\\) if sin<sup>2<\/sup> y + cos xy = K. [2]\nSolution:<br \/>\nGiven, sin<sup>2<\/sup> y + cos xy = K<br \/>\nDifferentiating both sides w.r.t x, we get<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129452\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-7.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 7\" width=\"378\" height=\"467\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129453\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-8.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 8\" width=\"139\" height=\"150\" \/><\/p>\n<p>Question 7.<br \/>\nThe volume of a sphere is increasing at the rate of 3 cubic centimetre per second. Find the rate of increase of its surface area, when the radius is 2 cm. [2]\nSolution:<br \/>\nLet V be the volume and r be the radius of sphere at any time t.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129454\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-9.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 9\" width=\"371\" height=\"536\" \/><br \/>\n\u2234 Rate of increase of surface area of the sphere is 3 square centimetre per second.<\/p>\n<p>Question 8.<br \/>\nShow that the function f(x) = 4x<sup>3<\/sup> \u2013 18x<sup>2<\/sup> + 27x \u2013 7 is always increasing on R. [2]\nSolution:<br \/>\nGiven, f(x)= 4x<sup>3<\/sup> \u2013 18x<sup>2<\/sup> + 27x \u2013 7<br \/>\nDifferentiating f(x) w.r.t. x, we get<br \/>\nf'(x) = 12x<sup>2<\/sup> \u2013 36x + 27 = 3(4x<sup>2<\/sup> \u2013 12x + 9)<br \/>\n= 3(2x \u2013 3)<sup>2<\/sup> for any x \u03f5 R<br \/>\n3 &gt; 0 and (2x \u2013 3)<sup>2<\/sup> \u2265 0<br \/>\n\u2234 f'(x) \u2265 o<br \/>\n\u21d2 The fimction is always increasing on R.<\/p>\n<p>Question 9.<br \/>\nFind the vector equation of the line passing through the point A(1, 2, -1) and parallel to the line 5x \u2013 25 = 14 \u2013 7y = 35z. [2]\nSolution:<br \/>\nGiven line is 5x \u2013 25 = 14 \u2013 7y = 35z<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129455\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-10.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 10\" width=\"305\" height=\"155\" \/><br \/>\n\u2234 Vector equation of the line which passes through the point A (1, 2, \u2013 1) and its direction ratio are proportional to 7, \u2013 5, 1 is<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129456\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-11.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 11\" width=\"262\" height=\"49\" \/><\/p>\n<p>Question 10.<br \/>\nProve that if E and F are independent events, then the events E and F\u2019 are also independent. [2]\nSolution:<br \/>\nSince E and F are independent events :<br \/>\nP(E \u2229 F) = P (E) . P (F) \u2026(i)<br \/>\nP(E \u2229 F\u2019) = P (E) \u2013 P (E \u2229 F)<br \/>\n= P (E) \u2013 P (E) P (F) [From (i)]\n= P(E)(1 \u2013 P(F))<br \/>\n= P (E) P (F\u2019)<br \/>\n\u2234 E and F\u2019 are also independent. Hence Proved.<\/p>\n<p>Question 11.<br \/>\nA small firm manufactures necklaces and bracelets. The total number of necklaces and bracelets that it can handle per day is at most 24. It takes one hour to make a bracelet and half an hour to make a necklace. The maximum number of hours available per day is 16. If the profit on a necklace is \u20b9 100 and that on a bracelet is \u20b9 300. Formulate an L.P.P. for finding how many of each should be produced daily to maximize the profit ? It is being given that at least one of each must be produced. [2]\nSolution:<br \/>\nLet the manufacturer produces x pieces of necklaces and y pieces of bracelets.<br \/>\nSince total number of necklaces and bracelets that can be handle per day are 24.<br \/>\nso, x + y \u2264 24 \u2026(i)<br \/>\nTo make bracelet one needs one hour and half an hour is need to make necklace and maximum time available is 16 hours<br \/>\nso, \\(\\frac{1}{2}\\)x + y \u2264 16 \u2026.(ii)<br \/>\nNow, let Z be the profit and we have to maximize it, so our LPP will be<br \/>\nMaximize Z = 100x + 300y<br \/>\nSubject to constraints :<br \/>\nx + y \u2264 24<br \/>\n\\(\\frac{1}{2}\\) x + y \u2264 16<br \/>\nor x + 2y \u2264 32<br \/>\nand x, y \u2265 1<\/p>\n<p>Question 12.<br \/>\nFind: \\(\\int \\frac{d x}{x^{2}+4 x+8}\\). [2]\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129457\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-12.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 12\" width=\"169\" height=\"55\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129458\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-13.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 13\" width=\"300\" height=\"259\" \/><\/p>\n<p><strong>Section \u2013 C<\/strong><\/p>\n<p>Question 13.<br \/>\nProve that [4]\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129459\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-14.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 14\" width=\"244\" height=\"108\" \/><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129460\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-15.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 15\" width=\"333\" height=\"454\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129461\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-16.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 16\" width=\"214\" height=\"182\" \/><\/p>\n<p>Question 14.<br \/>\nUsing properties of determinants, prove that: [4]\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129462\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-17.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 17\" width=\"299\" height=\"78\" \/><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129463\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-18.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 18\" width=\"369\" height=\"524\" \/><br \/>\nOR<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129464\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-19.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 19\" width=\"320\" height=\"57\" \/><br \/>\nfind the matrix D such that CD \u2013 AB = 0.<br \/>\nSolution:<br \/>\nLet D be the matrix of order 2 \u00d7 2,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129465\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-20.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 20\" width=\"371\" height=\"469\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129466\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-21.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 21\" width=\"338\" height=\"497\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129467\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-22.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 22\" width=\"315\" height=\"185\" \/><\/p>\n<p>Question 15.<br \/>\nDifferentiate the function (sin x)<sup>x<\/sup> + sin<sup>-1<\/sup> \\(\\sqrt{x}\\) with respect to x.<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129468\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-23.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 23\" width=\"375\" height=\"401\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129469\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-24.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 24\" width=\"374\" height=\"250\" \/><br \/>\nOR<br \/>\nIF x<sup>m<\/sup>y<sup>n<\/sup> = (x + y)<sup>m+n<\/sup>, prove that \\(\\frac{d^{2} y}{d x^{2}}\\) = 0.<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129470\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-25.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 25\" width=\"365\" height=\"481\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129471\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-26.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 26\" width=\"368\" height=\"210\" \/><\/p>\n<p>Question 16.<br \/>\nFind [4]\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129472\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-27.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 27\" width=\"162\" height=\"48\" \/><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129473\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-28.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 28\" width=\"308\" height=\"50\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129474\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-29.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 29\" width=\"406\" height=\"547\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129475\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-30.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 30\" width=\"369\" height=\"363\" \/><\/p>\n<p>Question 17.<br \/>\nEvaluate: [4]\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129476\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-31.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 31\" width=\"123\" height=\"51\" \/><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129477\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-32.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 32\" width=\"285\" height=\"171\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129478\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-33.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 33\" width=\"373\" height=\"523\" \/><br \/>\nOR<br \/>\nEvaluate: <img loading=\"lazy\" class=\"alignnone size-full wp-image-129479\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-34.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 34\" width=\"137\" height=\"37\" \/><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129480\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-35.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 35\" width=\"391\" height=\"532\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129481\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-36.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 36\" width=\"368\" height=\"221\" \/><\/p>\n<p>Question 18.<br \/>\nProve that x<sup>2<\/sup> \u2013 y<sup>2<\/sup> = c(x<sup>2<\/sup> +y<sup>2<\/sup>)<sup>2<\/sup> is the general solution of the differential equation (x<sup>3<\/sup> \u2013 3xy<sup>2<\/sup>) dx = (y<sup>3<\/sup> \u2013 3x<sup>2<\/sup>y) dy, where c is a parameter. [4]\nSolution:<br \/>\nGiven differential equation is,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129482\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-37.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 37\" width=\"370\" height=\"504\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129483\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-38.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 38\" width=\"282\" height=\"322\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129484\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-39.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 39\" width=\"372\" height=\"478\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129485\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-40.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 40\" width=\"395\" height=\"530\" \/><\/p>\n<p>Question 19.<br \/>\nLet \\(\\vec{a}=\\hat{i}+\\hat{j}+\\hat{k}, \\vec{b}=\\hat{i} \\text { and } \\vec{c}=c_{1} \\hat{i}+c_{2} \\hat{j}+c_{3} \\hat{k}\\) then:<br \/>\n(a) Let c<sub>1<\/sub> = 1 and c<sub>2<\/sub> = 2, find c<sub>3<\/sub> which makes \\(\\vec{a}, \\vec{b} \\text { and } \\vec{c}\\) coplanar.<br \/>\n(b) If c<sub>2<\/sub> = \u2013 1 and c<sub>3<\/sub> = 1, show that no value of c<sub>1<\/sub> can make \\(\\vec{a}, \\vec{b} \\text { and } \\vec{c}\\) coplanar. [4]\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129486\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-41.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 41\" width=\"366\" height=\"516\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129487\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-42.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 42\" width=\"368\" height=\"251\" \/><\/p>\n<p>Question 20.<br \/>\nIf \\(\\vec{a}, \\vec{b}, \\vec{c}\\) are mutually perpendicular vectors of equal magnitudes, show that the vector \\(\\vec{a}+\\vec{b}+\\vec{c}\\) is equally inclined to \\(\\vec{a}, \\vec{b} \\text { and } \\vec{c}\\). Also, find the angle which \\(\\vec{a}+\\vec{b}+\\vec{c}\\) makes with \\(\\vec{a} \\text { or } \\vec{b} \\text { or } \\vec{c}\\). [4]\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129488\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-43.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 43\" width=\"365\" height=\"122\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129489\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-44.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 44\" width=\"381\" height=\"558\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129490\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-45.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 45\" width=\"369\" height=\"198\" \/><\/p>\n<p>Question 21.<br \/>\nThe random variable X can take only the values 0, 1, 2, 3. Given that P (X = 0) = P (X = 1) = p and P(X = 2) = P(X = 3) such that \u03a3p<sub>i<\/sub>x<sub>i<\/sub><sup>2<\/sup> = 2\u03a3p<sub>i<\/sub>x<sub>i<\/sub> , find the value of p. [4]\nSolution:<br \/>\nGiven, P(X = 0) = P(X = 1) = p and P(X = 2) = P (X = 3)<br \/>\nLet P (X = 2) = P(X = 3) = k<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129491\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-46.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 46\" width=\"364\" height=\"208\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129492\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-47.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 47\" width=\"366\" height=\"222\" \/><\/p>\n<p>Question 22.<br \/>\nOften it is taken that a truthful person commands, more respect in the society. A man is known to speak the truth 4 out of 5 times. He throws a die and reports that it is a six. Find the probability that it is actually a six.<br \/>\nDo you also agree that the value of truthfulness leads to more respect in the society ? [4]\nSolution:<br \/>\nLet E<sub>1<\/sub>, E<sub>2<\/sub> and A be the events defined as follows:<br \/>\nE<sub>1<\/sub> = Six appears on throwing a die.<br \/>\nE<sub>2<\/sub> = Six does not appear on throwing a die.<br \/>\nand A = the man reports that it is a six We have,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129493\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-48.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 48\" width=\"93\" height=\"95\" \/><br \/>\nNow P(A\/E<sub>1<\/sub>) = Probability that the man reports that there is a six on the die given that six has occurred on the die = 4\/5 (probability that the man speaks truth)<br \/>\nand P(A\/E<sub>2<\/sub>) = Probability that the man reports that there is a six on the die given that six has not occurred on the die (probability that the man does not speak truth).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129494\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-49.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 49\" width=\"345\" height=\"273\" \/><br \/>\nYes, truthfulness always leads to more respect in the society as truth always wins.<\/p>\n<p>Question 23.<br \/>\nSolve the following L.P.P. graphically : Minimise Z = 5x + 10y Subject to constraints<br \/>\nx + 2y \u2264 120<br \/>\nx + y \u2265 60<br \/>\nx \u2013 2y \u2265 0<br \/>\nand x, y \u2265 0 [4]\nSolution:<br \/>\nWe have,<br \/>\nMinimise Z = 5x + 10y<br \/>\nSubject to the constraints :<br \/>\nx + 2y \u2264 120<br \/>\nx + y \u2265 60<br \/>\nx \u2013 2y \u2265 0<br \/>\nand x, y \u2265 0<br \/>\nConverting the given inequalities into equations, we obtain the following equations :<br \/>\nx + 2y = 120<br \/>\nx + y = 60<br \/>\nx \u2013 2y = 0<br \/>\nThen, x + 2y = 120<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129495\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-50.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 50\" width=\"396\" height=\"536\" \/><br \/>\nThe shaded region ABCD represented by the given constraints is the feasible region. Comer points of the common shaded region are A (40, 20), B (60, 30), C (120, 0) and D (60, 0). Value of Z at each corner point is given as :<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129496\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-51.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 51\" width=\"365\" height=\"140\" \/><br \/>\nHence, minimum value of Z is 300 at (60, 0).<\/p>\n<p><strong>Section \u2013 D<\/strong><\/p>\n<p>Question 24.<br \/>\nUse product \\(\\left[\\begin{array}{rrr}{1} &amp; {-1} &amp; {2} \\\\ {0} &amp; {2} &amp; {-3} \\\\ {3} &amp; {-2} &amp; {4}\\end{array}\\right]\\left[\\begin{array}{rrr}{-2} &amp; {0} &amp; {1} \\\\ {9} &amp; {2} &amp; {-3} \\\\ {6} &amp; {1} &amp; {-2}\\end{array}\\right]\\) to solve the system of equations x + 3z = 9, \u2013 x + 2y \u2013 2z = 4, 2x \u2013 3y + 4z = 3. [6]\nSolution:<br \/>\nConsider,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129497\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-52.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 52\" width=\"374\" height=\"575\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129498\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-53.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 53\" width=\"213\" height=\"91\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129499\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-54.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 54\" width=\"320\" height=\"384\" \/><\/p>\n<p>Question 25.<br \/>\nConsider f : R<sub>+<\/sub> \u2192 [- 5, \u221e), given by f(x) = 9x<sup>2<\/sup> + 6x \u2013 5. Show that f is invertible with f<sup>-1<\/sup>(y) = \\(\\left(\\frac{\\sqrt{y+6}-1}{3}\\right)\\). [6]\nhence find:<br \/>\n(i) f<sup>-1<\/sup>(10)<br \/>\n(ii) y if f<sup>-1<\/sup>(y) = \\(\\frac{4}{3}\\),<br \/>\nwhere R<sub>+<\/sub> is the set of all non-negative real numbers.<br \/>\nSolution:<br \/>\nFor one-one :<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129500\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-55.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 55\" width=\"371\" height=\"481\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129501\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-56.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 56\" width=\"372\" height=\"440\" \/><br \/>\nOR<br \/>\nDiscuss the commutativity and associativity of binary operation defined on A = Q \u2013 {1} by the rule a * b = a \u2013 b + ab for all, a, b \u03f5 A. Also find the identity element of * in A and hence find the invertible elements of A.**<\/p>\n<p>Question 26.<br \/>\nIf the sum of lengths of the hypotenuse and a side of a right angled triangle is given, show that the area of the triangle is maximum, when the angle between them is \\(\\frac{\\pi}{3}\\).<br \/>\nSolution:<br \/>\nLet h, x and y be the length of hypotenuse and sides of the right triangle ABC.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129502\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-57.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 57\" width=\"317\" height=\"422\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129503\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-58.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 58\" width=\"373\" height=\"574\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129504\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-59.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 59\" width=\"302\" height=\"535\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129505\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-60.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 60\" width=\"366\" height=\"45\" \/><\/p>\n<p>Question 27.<br \/>\nUsing integration, find the area of region bounded by the triangle whose vertices are (- 2, 1), (0, 4) and (2, 3). [6]\nSolution:<br \/>\nThe vertices of the \u2206ABC are A(- 2, 1), B(0, 4) and C(2, 3).<br \/>\nEquation of the side AB is<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129506\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-61.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 61\" width=\"361\" height=\"391\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129507\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-62.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 62\" width=\"403\" height=\"516\" \/><br \/>\nOR<br \/>\nFind the area bounded by the circle x<sup>2<\/sup> + y<sup>2<\/sup> = 16 and the line \\( \\sqrt{{3}} \\)y = x in the first quadrant, using integration.<br \/>\nSolution:<br \/>\nGiven, x = \\( \\sqrt{{3}} \\)y<br \/>\nand x<sup>2<\/sup> + y<sup>2<\/sup> = 16,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129508\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-63.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 63\" width=\"372\" height=\"481\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129509\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-64.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 64\" width=\"361\" height=\"395\" \/><\/p>\n<p>Question 28.<br \/>\nSolve the differential equation x\\(\\frac{d y}{d x}\\) + y = x cos x + sin x, given that y = 1 when x = \\(\\frac{\\pi}{2}\\).[6]\nSolution:<br \/>\nGiven differential equation is :<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129510\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-65.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 65\" width=\"199\" height=\"48\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129511\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-66.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 66\" width=\"375\" height=\"496\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129512\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-67.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 67\" width=\"370\" height=\"272\" \/><\/p>\n<p>Question 29.<br \/>\nFind the equation of the plane through the line of intersection of \\(\\vec{r} \\cdot(2 \\hat{i}-3 \\hat{j}+4 \\hat{k})=1\\) and \\(\\vec{r} \\cdot(\\hat{i}-\\hat{j})+4=0\\) and perpendicular to the plane \\(\\vec{r} \\cdot(2 \\hat{i}-\\hat{j}+\\hat{k})+8=0\\). Hence find whether the plane thus obtained contains the line x \u2013 1 = 2y \u2013 4 = 3z \u2013 12. [6]\nSolution:<br \/>\nThe equation of the plane passing through the line of intersection of the given planes is :<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129513\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-68.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 68\" width=\"346\" height=\"103\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129514\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-69.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 69\" width=\"377\" height=\"525\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129515\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-70.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 70\" width=\"377\" height=\"534\" \/><br \/>\nOR<br \/>\nFind the vector and Cartesian equations of a line passing through (1, 2, \u2013 4) and perpendicular to the two lines \\(\\frac{x-8}{3}=\\frac{y+19}{-16}=\\frac{z-10}{7}\\) and \\(\\frac{x-15}{3}=\\frac{y-29}{8}=\\frac{z-5}{-5}\\).<br \/>\nSolution:<br \/>\nCartesian equation of the line passing through (1, 2, \u2013 4) is<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129516\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-71.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 71\" width=\"373\" height=\"473\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129517\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-72.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 72\" width=\"367\" height=\"568\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"CBSE_Previous_Year_Question_Papers_Class_12_Maths_2017_Delhi_Set_II\"><\/span>CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi Set II<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Note : Except for the following questions, all the remaining questions have been asked in previous set.<\/p>\n<p><strong>Section \u2013 B<\/strong><\/p>\n<p>Question 12.<br \/>\nFor the curve y = 5x \u2013 2x<sup>3<\/sup>, if x increases at the rate of 2 units\/sec, then find the rate of change of the slope of the curve when 2 = 3. [2]\nSolution:<br \/>\nGiven curve is,<br \/>\ny = 5x \u2013 2x<sup>3<\/sup><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129518\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-73.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 73\" width=\"313\" height=\"200\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129519\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-74.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 74\" width=\"368\" height=\"118\" \/><\/p>\n<p><strong>Section \u2013 C<\/strong><\/p>\n<p>Question 20.<br \/>\nThe random variable X can take only the values 0, 1, 2, 3. Given that P(2) = P(3) = p and P(0) = 2P(1). If \u03a3p<sub>i<\/sub>x<sub>i<\/sub><sup>2<\/sup> = 2\u03a3p<sub>i<\/sub>x<sub>i<\/sub>, find the value of p. [4]\nSolution:<br \/>\nGiven, P(2) = P(3) = p<br \/>\nand P(0) = 2P(1)<br \/>\nLet P(1) = k<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129520\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-75.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 75\" width=\"265\" height=\"91\" \/><br \/>\n\u21d2 0 + k + 4p + 9p = 2(0 + k + 2p + 3p)<br \/>\n\u21d2 k + 13p = 2k + 10p<br \/>\nor 3p = k \u2026.(i)<br \/>\nalso we know that<br \/>\n\u03a3p<sub>i<\/sub> = 1<br \/>\n\u21d2 2k + k + p + p = l<br \/>\n\u21d2 3k + 2p = 1<br \/>\n\u21d2 9p + 2p = 1 [using (i)]\n\u21d2 11p = 1<br \/>\nor P = \\(\\frac{1}{11}\\)<\/p>\n<p>Question 21.<br \/>\nUsing vectors find the area of triangle ABC with vertices A(1, 2, 3), B(2, \u2013 1, 4) and C (4, 5, \u2013 1). [4]\nSolution:<br \/>\nVertices of the given \u2206ABC are A(1, 2, 3) B(2, \u2013 1, 4) and C(4, 5, \u2013 1)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129521\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-76.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 76\" width=\"370\" height=\"415\" \/><\/p>\n<p>Question 22.<br \/>\nSolve the following L. P. P. graphically<br \/>\nMaximise Z = 4x + y<br \/>\nSubject to following constraints :<br \/>\nx + y \u2264 50,<br \/>\n3x + y \u2264 90,<br \/>\nx \u2265 10<br \/>\nx, y \u2265 0 [4]\nSolution:<br \/>\nWe have,<br \/>\nMaximise Z = 4x + y<br \/>\nSubject to the constraints :<br \/>\nx + y \u2264 50<br \/>\n3x + y \u2264 90<br \/>\nx \u2265 10<br \/>\nx, y \u2265 0<br \/>\nConverting the given inequalities into equations, we obtain the following equations :<br \/>\nx + y = 50<br \/>\n3x + y = 90<br \/>\nx = 10<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129522\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-77.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 77\" width=\"373\" height=\"484\" \/><br \/>\nPlotting these points on the graph, we get the shaded feasible region i.e., ABCD.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129523\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-78.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 78\" width=\"365\" height=\"163\" \/><\/p>\n<p>Question 23.<br \/>\nFind: [4]\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129524\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-79.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 79\" width=\"163\" height=\"54\" \/><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129525\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-80.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 80\" width=\"362\" height=\"295\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129526\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-81.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 81\" width=\"395\" height=\"497\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129527\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-82.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 82\" width=\"394\" height=\"298\" \/><\/p>\n<p><strong>Section \u2013 D<\/strong><\/p>\n<p>Question 28.<br \/>\nA metal box with a square base and vertical sides is to contain 1024 cm<sup>3<\/sup>. The material for the top and bottom costs \u20b9 5 per cm<sup>2<\/sup> and the material for the sides costs \u20b92.50 per cm<sup>2<\/sup>. Find the least cost of the box. [6]\nSolution:<br \/>\nLet the length, breadth and height of the metal box be x cm, x cm and y cm respectively. It is given that,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129528\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-83.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 83\" width=\"372\" height=\"105\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129529\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-84.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 84\" width=\"304\" height=\"510\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129530\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-85.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 85\" width=\"370\" height=\"414\" \/><\/p>\n<p>Question 29.<br \/>\nIf A = \\(\\left(\\begin{array}{rrr}{2} &amp; {3} &amp; {10} \\\\ {4} &amp; {-6} &amp; {5} \\\\ {6} &amp; {9} &amp; {-20}\\end{array}\\right)\\), find A<sup>-1<\/sup>. Using A<sup>-1<\/sup> solve the system of equations: [6]\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129531\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-86.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 86\" width=\"136\" height=\"109\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129532\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-87.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 87\" width=\"142\" height=\"55\" \/><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129533\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-88.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 88\" width=\"369\" height=\"556\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129534\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-89.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 89\" width=\"330\" height=\"409\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129535\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-90.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 90\" width=\"373\" height=\"546\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129536\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-91.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 91\" width=\"335\" height=\"476\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"CBSE_Previous_Year_Question_Papers_Class_12_Maths_2017_Delhi_Set_III\"><\/span>CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi Set III<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Section \u2013 B<\/strong><\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129537\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-92.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 92\" width=\"339\" height=\"76\" \/><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129538\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-93.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 93\" width=\"354\" height=\"295\" \/><\/p>\n<p><strong>Section \u2013 C<\/strong><\/p>\n<p>Question 20.<br \/>\nSolve the following L.P.P. graphically :<br \/>\nMaximise Z = 20x + 10y<br \/>\nSubject to the following constraints :<br \/>\nx + 2y \u2264 28,<br \/>\n3x + y \u2264 24,<br \/>\nx \u2265 2<br \/>\nx, y \u2265 0 [4]\nSolution:<br \/>\nWe have<br \/>\nMaximise Z = 20x + 10y<br \/>\nSubject to the constraints :<br \/>\nx + 2y \u2264 28<br \/>\n3x + y \u2264 24<br \/>\nx \u2265 2<br \/>\nx, y \u2265 0<br \/>\nConverting the given inequalities into equations, we obtain the following equations :<br \/>\nx + 2y = 28<br \/>\n3x + y = 24<br \/>\nx = 2<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129539\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-94.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 94\" width=\"372\" height=\"488\" \/><br \/>\nPlotting these points on the graph, we get the shaded feasible region i.e., ABCD<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129540\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-95.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 95\" width=\"370\" height=\"164\" \/><\/p>\n<p>Question 21.<br \/>\nShow that the family of curves for which \\(\\frac{d y}{d x}=\\frac{x^{2}+y^{2}}{2 x y}\\), is given by x<sup>2<\/sup> \u2013 y<sup>2<\/sup> = cx. [4]\nSolution:<br \/>\nGiven family of curve,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129541\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-96.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 96\" width=\"368\" height=\"248\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129542\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-97.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 97\" width=\"371\" height=\"420\" \/><\/p>\n<p>Question 22.<br \/>\nFind: [4]\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129543\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-98.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 98\" width=\"183\" height=\"51\" \/><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129544\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-99.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 99\" width=\"372\" height=\"522\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129545\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-100.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 100\" width=\"340\" height=\"137\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129546\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-101.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 101\" width=\"367\" height=\"51\" \/><\/p>\n<p>Question 23.<br \/>\nSolve the following equation for x : cos (tan<sup>-1<\/sup>x) = sin (cot<sup>-1<\/sup>\\(\\frac{3}{4}\\)) [4]\nSolution:<br \/>\nGiven equation is,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129547\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-102.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 102\" width=\"369\" height=\"322\" \/><\/p>\n<p><strong>Section \u2013 D<\/strong><\/p>\n<p>Question 28.<br \/>\nIf A = \\(\\left[\\begin{array}{ccc}{2} &amp; {3} &amp; {1} \\\\ {1} &amp; {2} &amp; {-2} \\\\ {-3} &amp; {1} &amp; {-1}\\end{array}\\right]\\) find A<sup>-1<\/sup> and hence solve the system of equations 2x + y \u2013 3z = 13, 3x + 2y + z = 4, x + 2y \u2013 z = 8 [6]\nSolution:<br \/>\nGiven,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129548\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-103.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 103\" width=\"372\" height=\"476\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129549\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-104.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 104\" width=\"331\" height=\"561\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129550\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-105.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 105\" width=\"361\" height=\"428\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129551\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-106.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 106\" width=\"248\" height=\"108\" \/><\/p>\n<p>Question 29.<br \/>\nFind the particular solution of the differential equation. tan x \u00b7 \\(\\frac{d y}{d x}\\) = 2x tan x + x<sup>2<\/sup> \u2013 y; (tan x \u2260 0) given that y = 0 when x = \\(\\frac{\\pi}{2}\\). [ 6]\nSolution:<br \/>\nGiven differential equation is,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129552\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-107.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 107\" width=\"402\" height=\"542\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-129553\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/CBSE-Previous-Year-Question-Papers-Class-12-Maths-2017-Delhi-108.png\" alt=\"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi 108\" width=\"313\" height=\"242\" \/><\/p>\n<h4><\/h4>\n","protected":false},"excerpt":{"rendered":"<p>CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi Time allowed: 3 hours Maximum marks : 100 General Instructions: [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"CBSE Previous Year Question Papers Class 12 Maths 2017 Delhi","custom_permalink":"cbse\/class-12\/maths\/cbse-previous-year-question-papers-class-12-maths-2017-delhi\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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