{"id":68034,"date":"2021-09-02T13:35:00","date_gmt":"2021-09-02T08:05:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=68034"},"modified":"2021-09-02T16:42:51","modified_gmt":"2021-09-02T11:12:51","slug":"rd-sharma-solutions-class-11-maths-chapter-23-exercise-23-7","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-23-exercise-23-7\/","title":{"rendered":"RD Sharma Class 11 Solutions Chapter 23 Exercise 23.7 (Updated for 2021-22)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-123434\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Class-11-Solutions-Chapter-23-Exercise-23.7.jpg\" alt=\"RD Sharma Solutions Class 11 Maths Chapter 23 Exercise 23.7\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Class-11-Solutions-Chapter-23-Exercise-23.7.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Class-11-Solutions-Chapter-23-Exercise-23.7-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Solutions Class 11 Maths Chapter 23 Exercise 23.7:\u00a0<\/strong>The solutions are created by Kopykitab experts with the grasping ability of students in mind. Students can use <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-23\/\"><strong>RD Sharma Solutions Class 11 Maths Chapter 23<\/strong><\/a> Exercise 23.7, which are available in pdf format, to improve their conceptual knowledge. The pdf can be downloaded by students using the links provided below.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 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\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69e767407b722\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" 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: #000000;color:#000000\" 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-69e767407b722\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-23-exercise-23-7\/#download-rd-sharma-class-11-solutions-chapter-23-exercise-237-free-pdf\" title=\"Download RD Sharma Class 11 Solutions Chapter 23 Exercise 23.7 Free PDF\">Download RD Sharma Class 11 Solutions Chapter 23 Exercise 23.7 Free PDF<\/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:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-23-exercise-23-7\/#access-answers-to-rd-sharma-solutions-class-11-maths-chapter-23-exercise-237-important-question-with-answers\" title=\"Access answers to RD Sharma Solutions Class 11 Maths Chapter 23 Exercise 23.7- Important Question with Answers\">Access answers to RD Sharma Solutions Class 11 Maths Chapter 23 Exercise 23.7- Important Question with Answers<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-23-exercise-23-7\/#faqs-on-rd-sharma-class-11-solutions-chapter-23-exercise-237\" title=\"FAQs on RD Sharma Class 11 Solutions Chapter 23 Exercise 23.7\">FAQs on RD Sharma Class 11 Solutions Chapter 23 Exercise 23.7<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-23-exercise-23-7\/#where-can-i-download-rd-sharma-class-11-solutions-chapter-23-exercise-237-free-pdf\" title=\"Where can I download RD Sharma Class 11 Solutions Chapter 23 Exercise 23.7 free PDF?\">Where can I download RD Sharma Class 11 Solutions Chapter 23 Exercise 23.7 free PDF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-23-exercise-23-7\/#why-is-kopykitab%e2%80%99s-rd-sharma-solutions-class-11-maths-chapter-23-exercise-237-the-best-study-material\" title=\"Why is Kopykitab\u2019s RD Sharma Solutions Class 11 Maths Chapter 23 Exercise 23.7 the best study material?\">Why is Kopykitab\u2019s RD Sharma Solutions Class 11 Maths Chapter 23 Exercise 23.7 the best study material?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-23-exercise-23-7\/#is-rd-sharma-solutions-for-class-12-maths-chapter-23-exercise-237-for-free\" title=\"Is RD Sharma Solutions for Class 12 Maths Chapter 23 Exercise 23.7 for free?\">Is RD Sharma Solutions for Class 12 Maths Chapter 23 Exercise 23.7 for free?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-class-11-solutions-chapter-23-exercise-237-free-pdf\"><\/span>Download RD Sharma Class 11 Solutions Chapter 23 Exercise 23.7 Free PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-11-Maths-Chapter-23-Ex-23.7-1.pdf\">RD Sharma Solutions Class 11 Maths Chapter 23 Exercise 23.7<\/a><\/p>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 800px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-11-Maths-Chapter-23-Ex-23.7-1.pdf\", \"#example1\");<\/script><\/p>\n<p>In this exercise, we&#8217;ll look at one of the several types of equations for a straight line, such as the normal or perpendicular form of a line, using examples to help students understand the concepts. Students can utilise the <a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-11-maths-rd-sharma-solutions\/\"><strong>RD Sharma Class 11 Solutions<\/strong><\/a> pdf to learn how to solve problems more effectively.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-answers-to-rd-sharma-solutions-class-11-maths-chapter-23-exercise-237-important-question-with-answers\"><\/span>Access answers to RD Sharma Solutions Class 11 Maths Chapter 23 Exercise 23.7- Important Question with Answers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>1. Find the equation of a line for which<\/strong><\/p>\n<p><strong>(i) p = 5, \u03b1 = 60\u00b0<\/strong><\/p>\n<p><strong>(ii) p = 4, \u03b1 = 150\u00b0<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>(i)\u00a0<\/strong>p = 5, \u03b1 = 60\u00b0<\/p>\n<p>Given:<\/p>\n<p>p = 5, \u03b1 = 60\u00b0<\/p>\n<p>The equation of the line in normal form is given by<\/p>\n<p>Using the formula,<br \/><br \/>x cos\u00a0\u03b1 + y sin \u03b1 = p<\/p>\n<p>Now, substitute the values, we get<br \/><br \/>x cos 60\u00b0 + y sin 60\u00b0 = 5<\/p>\n<p>x\/2 +\u00a0<strong>\u221a<\/strong>3y\/2 = 5<br \/><br \/>x + \u221a3y = 10<\/p>\n<p>\u2234 The equation of line in normal form is x + \u221a3y = 10.<\/p>\n<p><strong>(ii)\u00a0<\/strong>p = 4, \u03b1 = 150\u00b0<\/p>\n<p>Given:<\/p>\n<p>p = 4, \u03b1 = 150\u00b0<\/p>\n<p>The equation of the line in normal form is given by<\/p>\n<p>Using the formula,<br \/><br \/>x cos\u00a0\u03b1 + y sin \u03b1 = p<\/p>\n<p>Now, substitute the values, we get<\/p>\n<p>x cos 150\u00b0 + y sin 150\u00b0 = 4<\/p>\n<p>cos (180\u00b0\u00a0\u2013 \u03b8) = \u2013 cos \u03b8 , sin (180\u00b0\u00a0\u2013 \u03b8) = sin \u03b8<\/p>\n<p>x cos(180\u00b0\u00a0\u2013 30\u00b0) + y sin(180\u00b0\u00a0\u2013 30\u00b0) = 4<\/p>\n<p>\u2013 x cos 30\u00b0\u00a0+ y sin 30\u00b0\u00a0= 4<\/p>\n<p>\u2013<strong>\u221a<\/strong>3x\/2 + y\/2 = 4<\/p>\n<p><strong>-\u221a<\/strong>3x + y = 8<\/p>\n<p>\u2234 The equation of a line in normal form is <strong>-\u221a<\/strong>3x + y = 8.<\/p>\n<p><strong>2. Find the equation of the line on which the length of the perpendicular segment from the origin to the line is 4 and the inclination of the perpendicular segment with the positive direction of the x-axis is 30\u00b0.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Given:<\/p>\n<p>p = 4, \u03b1 = 30\u00b0<\/p>\n<p>The equation of the line in normal form is given by<\/p>\n<p>Using the formula,<br \/><br \/>x cos\u00a0\u03b1 + y sin \u03b1 = p<\/p>\n<p>Now, substitute the values, we get<br \/><br \/>x cos 30\u00b0 + y sin 30\u00b0 = 4<\/p>\n<p>x<strong>\u221a<\/strong>3\/2 + y1\/2 = 4<br \/><br \/>\u221a3x + y = 8<\/p>\n<p>\u2234 The equation of line in normal form is \u221a3x + y = 8.<\/p>\n<p><strong>3. Find the equation of the line whose perpendicular distance from the origin is 4 units and the angle which the normal makes with the positive direction of the x-axis are 15\u00b0.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img src=\"https:\/\/farm8.staticflickr.com\/7571\/15958813398_ccd16cbbd2_o.png\" alt=\"RD-Sharma-class-11-Solutions-Chapter-23-Straight-Lines-Ex-23.7-Q-7\" width=\"463\" height=\"439\" \/><br \/><strong>Straight lines Ex 23.7 Q4<\/strong><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8589\/15523922444_e0389937c7_o.png\" alt=\"RD-Sharma-class-11-Solutions-Chapter-23-Straight-Lines-Ex-23.7-Q-2\" width=\"338\" height=\"283\" \/><br \/><strong>Straight lines Ex 23.7 Q5<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7494\/15523922284_b2d8760451_o.png\" alt=\"RD-Sharma-class-11-Solutions-Chapter-23-Straight-Lines-Ex-23.7-Q-3\" width=\"358\" height=\"234\" \/><br \/><strong>Straight lines Ex 23.7 Q6<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7535\/16120469746_32e9ba74f5_o.png\" alt=\"RD-Sharma-class-11-Solutions-Chapter-23-Straight-Lines-Ex-23.7-Q-4\" width=\"263\" height=\"210\" \/><br \/><strong>Straight lines Ex 23.7 Q7<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7487\/16146259745_3f4b336e3e_o.png\" alt=\"RD-Sharma-class-11-Solutions-Chapter-23-Straight-Lines-Ex-23.7-Q-5\" width=\"365\" height=\"396\" \/><br \/><strong>Straight lines Ex 23.7 Q8<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7574\/16145507292_3152f1b4a8_o.png\" alt=\"RD-Sharma-class-11-Solutions-Chapter-23-Straight-Lines-Ex-23.7-Q-9\" width=\"426\" height=\"320\" \/><br \/><strong>Straight lines Ex 23.7 Q9<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7513\/15960178259_44a39b50e3_o.png\" alt=\"RD-Sharma-class-11-Solutions-Chapter-23-Straight-Lines-Ex-23.7-Q-6\" width=\"737\" height=\"282\" \/><br \/><strong>Straight lines Ex 23.7 Q10<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7509\/16146259475_3bc5f3416d_o.png\" alt=\"RD-Sharma-class-11-Solutions-Chapter-23-Straight-Lines-Ex-23.7-Q-8\" width=\"401\" height=\"391\" \/><\/p>\n<p>We have provided complete details of RD Sharma Solutions Class 11 Maths Chapter 23 Exercise 23.7. If you have any queries related to <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE<\/strong><\/a>\u00a0Class 11, feel free to ask us in the comment section below.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-class-11-solutions-chapter-23-exercise-237\"><\/span>FAQs on RD Sharma Class 11 Solutions Chapter 23 Exercise 23.7<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1630580166786\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-download-rd-sharma-class-11-solutions-chapter-23-exercise-237-free-pdf\"><\/span>Where can I download RD Sharma Class 11 Solutions Chapter 23 Exercise 23.7 free PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download RD Sharma Solutions for Class 11 Maths Chapter 23 Exercise 23.7 free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1630580403067\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"why-is-kopykitab%e2%80%99s-rd-sharma-solutions-class-11-maths-chapter-23-exercise-237-the-best-study-material\"><\/span>Why is Kopykitab\u2019s RD Sharma Solutions Class 11 Maths Chapter 23 Exercise 23.7 the best study material?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The RD Sharma Solutions Class 11 Maths Chapter 23 Exercise 23.7 available on Kopykitab\u2019s website has been created by highly qualified experts to assist students in achieving high scores on the board exam. The solutions are well-organized and logical, giving pupils a clear picture of the most important questions.\u00a0<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1630580613228\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-rd-sharma-solutions-for-class-12-maths-chapter-23-exercise-237-for-free\"><\/span>Is RD Sharma Solutions for Class 12 Maths Chapter 23 Exercise 23.7 for free?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, You can get RD Sharma Solutions Class 12 Maths Chapter 23 Exercise 23.7 for free.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Solutions Class 11 Maths Chapter 23 Exercise 23.7:\u00a0The solutions are created by Kopykitab experts with the grasping ability of students in mind. Students can use RD Sharma Solutions Class 11 Maths Chapter 23 Exercise 23.7, which are available in pdf format, to improve their conceptual knowledge. The pdf can be downloaded by students &#8230; <a title=\"RD Sharma Class 11 Solutions Chapter 23 Exercise 23.7 (Updated for 2021-22)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-11-maths-chapter-23-exercise-23-7\/\" aria-label=\"More on RD Sharma Class 11 Solutions Chapter 23 Exercise 23.7 (Updated for 2021-22)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":123434,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3428,73334,73564,4388],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/68034"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/238"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=68034"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/68034\/revisions"}],"predecessor-version":[{"id":123653,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/68034\/revisions\/123653"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/123434"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=68034"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=68034"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=68034"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}