{"id":60253,"date":"2022-01-29T18:10:37","date_gmt":"2022-01-29T12:40:37","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=60253"},"modified":"2022-12-09T20:52:57","modified_gmt":"2022-12-09T15:22:57","slug":"study-materials-ncert-exemplar-solutions-class-11-maths-chapter-11-conic-sections","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-11-conic-sections\/","title":{"rendered":"NCERT Exemplar Solutions for Class 11 Maths Chapter 11 &#8211; Conic Sections"},"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-11-conic-sections\/#NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_11_-_Conic_Sections\" title=\"NCERT Exemplar Solutions for Class 11 Maths Chapter 11 &#8211; Conic Sections\">NCERT Exemplar Solutions for Class 11 Maths Chapter 11 &#8211; Conic Sections<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-11-conic-sections\/#Chapter_11_Conic_Sections_of_NCERT_Exemplar_Solutions_for_Class_11_covers_the_topics_listed_below\" title=\"Chapter 11 Conic Sections of NCERT Exemplar Solutions for Class 11 covers the topics listed below:\">Chapter 11 Conic Sections of NCERT Exemplar Solutions for Class 11 covers the topics listed below:<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-11-conic-sections\/#111_Introduction\" title=\"11.1 Introduction\">11.1 Introduction<\/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\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-11-conic-sections\/#112_Sections_of_a_Cone\" title=\"11.2 Sections of a Cone\">11.2 Sections of a Cone<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-11-conic-sections\/#113_Circle\" title=\"11.3 Circle\">11.3 Circle<\/a><\/li><li class='ez-toc-page-1 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-11-conic-sections\/#114_Parabola\" title=\"11.4 Parabola\">11.4 Parabola<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-11-conic-sections\/#115_Ellipse\" title=\"11.5 Ellipse\">11.5 Ellipse<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-11-conic-sections\/#116_Hyperbola\" title=\"11.6 Hyperbola\">11.6 Hyperbola<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-11-conic-sections\/#NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_11-_Conic_Sections\" title=\"NCERT Exemplar Solutions for Class 11 Maths Chapter 11- Conic Sections\">NCERT Exemplar Solutions for Class 11 Maths Chapter 11- Conic Sections<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-11-conic-sections\/#Chapter_11-_Conic_Sections\" title=\"Chapter 11- Conic Sections\">Chapter 11- Conic Sections<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-11-conic-sections\/#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<a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-11-conic-sections\/\"> NCERT Exemplar Solutions<\/a> for Class 11 Maths Chapter 11:Conic sections, <\/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 also help in entrance examinations like <strong><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/jee\" target=\"_blank\" rel=\"noopener\">JEE mains and advanced<\/a><\/span><\/strong>.<\/span><\/span><\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-174018 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/class-10-math-ncert-solutions.webp\" alt=\"NCERT Exemplar Solutions for Class 11 Maths Chapter 11\" width=\"626\" height=\"418\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/class-10-math-ncert-solutions.webp 626w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/class-10-math-ncert-solutions-300x200.webp 300w\" sizes=\"(max-width: 626px) 100vw, 626px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_11_-_Conic_Sections\"><\/span>NCERT Exemplar Solutions for Class 11 Maths Chapter 11 &#8211; Conic Sections<span class=\"ez-toc-section-end\"><\/span><\/h2>\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<h2><span class=\"ez-toc-section\" id=\"Chapter_11_Conic_Sections_of_NCERT_Exemplar_Solutions_for_Class_11_covers_the_topics_listed_below\"><\/span><span style=\"color: #0000ff;\"><strong><span style=\"font-size: 12pt;\">Chapter 11 Conic Sections of NCERT Exemplar Solutions for Class 11 covers the topics listed below:<\/span><\/strong><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"111_Introduction\"><\/span><span style=\"font-size: 12pt;\"><b>11.1 Introduction<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"112_Sections_of_a_Cone\"><\/span><span style=\"font-size: 12pt;\"><b>11.2 Sections of a Cone<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">11.2.1 Circle, ellipse, parabola and hyperbola<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">11.2.2 Degenerated conic sections<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"113_Circle\"><\/span><span style=\"font-size: 12pt;\"><b>11.3 Circle<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"114_Parabola\"><\/span><span style=\"font-size: 12pt;\"><b>11.4 Parabola<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">11.4.1 Standard equations of parabola<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">11.4.2 Latus rectum<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"115_Ellipse\"><\/span><span style=\"font-size: 12pt;\"><b>11.5 Ellipse<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">11.5.1 Relationship between semi-major axis, semi-minor axis and the distance of the focus from the centre of the ellipse<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">11.5.2 Special cases of an ellipse<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">11.5.3 Eccentricity<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">11.5.4 Standard equations of an ellipse<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">11.5.5 Latus rectum<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"116_Hyperbola\"><\/span><span style=\"font-size: 12pt;\"><b>11.6 Hyperbola<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">11.6.1 Eccentricity<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">11.6.2 Standard equation of Hyperbola<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">11.6.3 Latus rectum<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Therefore the number of questions available in the exercises of Chapter 11 is listed below:<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 11.1 Solutions 15 Questions<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">11.2 Solutions 12 Questions<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 11.3 Solutions 20 Questions<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 11.4 Solutions 15 Questions<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Miscellaneous Exercise On Chapter 11 Solutions 8 Questions<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Exemplar_Solutions_for_Class_11_Maths_Chapter_11-_Conic_Sections\"><\/span><span style=\"font-size: 12pt;\"><b>NCERT Exemplar Solutions for Class 11 Maths Chapter 11- Conic Sections<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">In this section, students learn about the topic Conic Sections that belongs to the unit Coordinate Geometry, It is important as it adds up to 10 marks out of 80 marks. Therefore there are 4 exercises and one miscellaneous exercise in this chapter. The concepts that covered in this Chapter of NCERT Exemplar Solutions for Class 11 chapter 11 Maths are listed below.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Chapter_11-_Conic_Sections\"><\/span><span style=\"font-size: 12pt;\"><b>Chapter 11- Conic Sections<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">In a plane, the set of all points in a plane that are equidistant from a fixed point represents a circle.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">The equation of a circle with centre <\/span><span style=\"font-weight: 400;\">and the radius r is <\/span><\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">In a plane, the set of all points in a plane that are equidistant from a fixed line and also a fixed point represents a parabola.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">The general equation of the parabola with focus at <\/span><span style=\"font-weight: 400;\">and directrix <\/span><span style=\"font-weight: 400;\">is <\/span><\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">In a parabola, a line segment that is perpendicular to the axis of the parabola and passes through the focus and whose endpoints lie on the parabola known as the latus rectum.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">For the parabola <\/span><span style=\"font-weight: 400;\">the length of the latus rectum is<\/span><\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">In a plane, the set of all points, the sum of whose distances from two fixed points is constant represents an ellipse.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">The equation of an ellipse with foci on the x-axis.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">A line segment that perpendicular to the major axis through any of the foci and whose endpoints lie on the ellipse known as the Latus rectum of an ellipse.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Length of the latus rectum of the ellipse.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">The ratio between the distances from the centre of the ellipse to one of the foci and to one of the vertices of the ellipse known as the eccentricity of an ellipse.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">After studying the Conic Sections of Class 11 students enabled to get in-depth knowledge of the Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerate case of a conic section. It also helps the students to understand the standard equations along with the properties of parabola, ellipse, hyperbola and circle.<\/span><\/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; also 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 11:Conic sections, which includes thorough solutions for reference. [&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 11","_yoast_wpseo_title":"%%title%% %%page%%","_yoast_wpseo_metadesc":"Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 11:Conic sections, which includes thorough solutions.","custom_permalink":"study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-11-conic-sections\/"},"categories":[107,113,105],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Exemplar Solutions for Class 11 Maths Chapter 11 - Conic Sections<\/title>\n<meta name=\"description\" content=\"Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 11:Conic sections, which includes thorough solutions.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/maths\/chapter-11-conic-sections\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Exemplar Solutions for Class 11 Maths Chapter 11 - 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