{"id":60226,"date":"2022-01-29T17:43:19","date_gmt":"2022-01-29T12:13:19","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=60226"},"modified":"2024-01-17T16:18:44","modified_gmt":"2024-01-17T10:48:44","slug":"study-materials-ncert-exemplar-solutions-class-11-maths-chapter-10-straight-lines","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-10-straight-lines\/","title":{"rendered":"NCERT Exemplar Solutions for Class 11 Maths Chapter 10 &#8211; Straight Lines"},"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\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-10-straight-lines\/#NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_10-_Straight_Lines\" title=\"NCERT Exemplar Solutions for Class 11 Maths Chapter 10- Straight Lines\">NCERT Exemplar Solutions for Class 11 Maths Chapter 10- Straight Lines<\/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\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-10-straight-lines\/#Frequently_Asked_Questions\" title=\"Frequently Asked Questions\">Frequently Asked Questions<\/a><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-10-straight-lines\/#What_are_the_concepts_covered_in_Chapter_10_Straight_Lines_of_NCERT_Exemplar_Solutions_for_Class_11_Maths\" title=\"What are the concepts covered in Chapter 10 Straight Lines of NCERT Exemplar Solutions for Class 11 Maths?\">What are the concepts covered in Chapter 10 Straight Lines of NCERT Exemplar Solutions for Class 11 Maths?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-10-straight-lines\/#Explain_the_equation_of_a_line_in_general_form_as_per_Chapter_10_of_NCERT_Exemplar_Solutions_for_Class_11_Maths\" title=\"Explain the equation of a line in general form as per Chapter 10 of NCERT Exemplar Solutions for Class 11 Maths.\">Explain the equation of a line in general form as per Chapter 10 of NCERT Exemplar Solutions for Class 11 Maths.<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-10-straight-lines\/#Why_Opt_for_Infinity_Learn\" title=\"Why Opt for Infinity Learn?\">Why Opt for Infinity Learn?<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-10-straight-lines\/#Infinity_Learn_App\" title=\"Infinity Learn App\">Infinity Learn App<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 10: Straight Lines, <\/span><span style=\"font-weight: 400;\">which includes thorough solutions for reference. All of the unsolved questions from the textbook&#8217;s exercises are answered here. The NCERT Exemplar Solutions for Class 11 provide useful solutions for improving conceptual knowledge and help in entrance examinations like <strong><span style=\"color: #0000ff;\">JEE mains and advanced<\/span><\/strong>.<\/span><\/span><\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-174012 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/class-12-math-ncert-solutions.webp\" alt=\"NCERT Exemplar Solutions for Class 11 Maths Chapter 10\" width=\"626\" height=\"417\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/class-12-math-ncert-solutions.webp 626w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/class-12-math-ncert-solutions-300x200.webp 300w\" sizes=\"(max-width: 626px) 100vw, 626px\" \/><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving <strong><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/\" target=\"_blank\" rel=\"noopener\">NCERT Exemplar Solutions<\/a><\/span><\/strong> for Class 11. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 11 pupils perform well in upcoming competitive exams.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management when answering questions is essential for getting the best results.<\/span><span style=\"font-weight: 400;\"> <\/span><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">After going through the solutions and examples given in NCERT Class 11 Chapter 10 Students get strong command on the above topics and sub-topics. These also enhance the ability of students to solve complex and tricky problems.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_10-_Straight_Lines\"><\/span><span style=\"font-size: 12pt; color: #0000ff;\"><b>NCERT Exemplar Solutions for Class 11 Maths Chapter 10- Straight Lines<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The Straight-line topic comes under the unit Coordinate Geometry which is included in the syllabus of the first term of class 11 for sessions 2021-22. This topic covers 10 marks out of 80 marks. This chapter contains 4 exercises by going through which students get clear concepts and command of the topic straight line. The concepts which are given in the solution of NCERT Maths Class 11 Chapter 10 are listed below: <\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Slope (m) for a non-vertical line.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">When any line subtends an angle \u03b1 in the positive direction of the x-axis, then the slope of the respective line is given by the equation, <\/span><span style=\"font-weight: 400;\"> where <\/span><\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">For a horizontal line, the slope is equal to zero and for a vertical line, the slope is undefined.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">If the slope of the two lines is equal, then these are said to be parallel.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">If the product of the slope of the two lines is equal to -1, then these lines are said to be perpendicular.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">If the slope of AB = slope of BC, then the points <\/span><span style=\"font-weight: 400;\">are said to be collinear.<\/span><\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">The horizontal line which is at a distance\u2019 a\u2019 from the x-axis.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">The vertical line which is at distance \u2018b\u2019 from the y-axis is either given by the equation <\/span><span style=\"font-weight: 400;\">or,<\/span><\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">The line having slope m and the x, y coordinate as <\/span><span style=\"font-weight: 400;\">is represented by the equation <\/span><\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">The line having slope m and y-intercept c is represented by the equation <\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">The line having slope m and x-intercept d is represented by the equation <\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">The line having \u2018p\u2019 as a normal distance from the origin and \u2018\u03c9\u2019 as an angle between normal and the positive x-axis is represented by the equation <\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">Any general linear equation or general equation of the line is of the form <\/span><span style=\"font-weight: 400;\">such that A and B are not equal to zero.<\/span><\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">After going through the problems with solutions and solved examples in the chapter Straight line of Class 11 students gets a strong command on the topics, Shifting of origin, Slope of a line and angle between two lines, Equations of various types of line like parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form, and normal form, General equation of a line, equation of the family of lines passing through the point of intersection of two lines, the distance of a point from a line.<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions\"><\/span><span style=\"font-size: 12pt; color: #0000ff;\"><b>Frequently Asked Questions<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"What_are_the_concepts_covered_in_Chapter_10_Straight_Lines_of_NCERT_Exemplar_Solutions_for_Class_11_Maths\"><\/span>What are the concepts covered in Chapter 10 Straight Lines of NCERT Exemplar Solutions for Class 11 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tBy going through the NCERT Maths solution of Class 11 Chapter 10 Straight Lines students get the basic knowledge of the topic coordinate geometry which is included in the first term CBSE syllabus of Maths Class 11. The graphical and algebraic representation of straight lines are also covered in this chapter. Along with the general equation of line, the representation and application of the first degree equation is explained here. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"Explain_the_equation_of_a_line_in_general_form_as_per_Chapter_10_of_NCERT_Exemplar_Solutions_for_Class_11_Maths\"><\/span>Explain the equation of a line in general form as per Chapter 10 of NCERT Exemplar Solutions for Class 11 Maths.<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tAmong various kinds of equations of a straight line, the most common form of a linear equation is the general equation which is represented by the equation, where, x, y are the variables representing the coordinates of the respective axes and are constants which are real numbers.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h2><span class=\"ez-toc-section\" id=\"Why_Opt_for_Infinity_Learn\"><\/span>Why Opt for Infinity Learn?<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tIn this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What are the concepts covered in Chapter 10 Straight Lines of NCERT Exemplar Solutions for Class 11 Maths?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"By going through the NCERT Maths solution of Class 11 Chapter 10 Straight Lines students get the basic knowledge of the topic coordinate geometry which is included in the first term CBSE syllabus of Maths Class 11. The graphical and algebraic representation of straight lines are also covered in this chapter. Along with the general equation of line, the representation and application of the first degree equation is explained here.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Explain the equation of a line in general form as per Chapter 10 of NCERT Exemplar Solutions for Class 11 Maths.\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Among various kinds of equations of a straight line, the most common form of a linear equation is the general equation which is represented by the equation, where, x, y are the variables representing the coordinates of the respective axes and are constants which are real numbers.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Why Opt for Infinity Learn?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"In this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n<p><strong><span style=\"color: #0000ff;\">Question: Mention the topics and subtopics covered in the Chapter 10 of NCERT Exemplar Solutions for Class 11 Maths.<\/span><\/strong><\/p>\n<p><strong><span style=\"color: #ff0000;\">Answer:<\/span><\/strong> The topics and sub-topics that are covered in the NCERT Maths textbook for Class 11 Chapter 10 \u2013 Straight Lines as listed below:<\/p>\n<p><strong>10.1 Introduction<\/strong><\/p>\n<p><strong>10.2 Slope of a Line<\/strong><\/p>\n<p>10.2.1 Slope of a line when coordinates of any two points on the line are given.<\/p>\n<p>10.2.2 Conditions for parallelism and perpendicularity of lines in terms of their slopes<\/p>\n<p>10.2.3 Angle between two lines<\/p>\n<p>10.2.4 Collinearity of three points<\/p>\n<p><strong>10.3 Various Forms of the Equation of a Line<\/strong><\/p>\n<p>10.3.1 Horizontal and vertical lines<\/p>\n<p>10.3.2 Point-slope form<\/p>\n<p>10.3.3 Two-point form<\/p>\n<p>10.3.4 Slope-intercept form<\/p>\n<p>10.3.5 Intercept \u2013 form<\/p>\n<p>10.3.6 Normal form<\/p>\n<p><strong>10.4 General Equation of a Line<\/strong><\/p>\n<p>10.4.1 Different forms of the equation<\/p>\n<p><strong>10.5 Distance of a Point From a Line<\/strong><\/p>\n<p>10.5.1 Distance between two parallel lines<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Infinity_Learn_App\"><\/span><span style=\"color: #0000ff;\">Infinity Learn App<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Now you can find answers to all your subject queries &amp; prepare for your Exams on our <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.infinitylearn.learn\" target=\"_blank\" rel=\"noopener\">Learning App <\/a><\/span>&#8211; Infinity Learn.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 10: Straight Lines, which includes thorough solutions for [&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":"NCERT Exemplar Solutions for Class 11 Maths Chapter 10","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 10: Straight Lines, which includes thorough solutions for reference.","custom_permalink":"study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-10-straight-lines\/"},"categories":[107,113,105],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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