{"id":125452,"date":"2021-09-09T15:44:03","date_gmt":"2021-09-09T10:14:03","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=125452"},"modified":"2021-09-09T15:44:07","modified_gmt":"2021-09-09T10:14:07","slug":"rd-sharma-class-9-solutions-chapter-5-vsaqs","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-5-vsaqs\/","title":{"rendered":"RD Sharma Class 9 Solutions Chapter 5 VSAQS (Updated for 2021-22)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-125648\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-5-VSAQS.jpg\" alt=\"RD Sharma Class 9 Solutions Chapter 5 VSAQS\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-5-VSAQS.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-5-VSAQS-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 5 VSAQS&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:268732,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Arial&quot;,&quot;21&quot;:1}\">RD Sharma Class 9 Solutions Chapter 5 VSAQS<\/span>: <\/strong>You can easily get a great score in your Maths class tests and assignments when study studying the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-for-maths\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Maths<\/a>. There are easy to understand and fully explained solutions designed by subject matter experts. To know more about the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-5-factorization-of-algebraic-expressions\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Class 9 Solutions Chapter 5 <\/a>VSAQs, read the whole blog.<\/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-69d82b923cef6\" 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-69d82b923cef6\"><\/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-class-9-solutions-chapter-5-vsaqs\/#access-answers-of-rd-sharma-class-9-solutions-chapter-5-vsaqs\" title=\"Access answers of RD Sharma Class 9 Solutions Chapter 5 VSAQS\">Access answers of RD Sharma Class 9 Solutions Chapter 5 VSAQS<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-5-vsaqs\/#faqs-on-rd-sharma-class-9-solutions-chapter-5-vsaqs\" title=\"FAQs on RD Sharma Class 9 Solutions Chapter 5 VSAQS\">FAQs on RD Sharma Class 9 Solutions Chapter 5 VSAQS<\/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:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-5-vsaqs\/#is-it-even-beneficial-to-study-rd-sharma-class-9-solutions-chapter-5-vsaqs%e2%80%8b%e2%80%8b%e2%80%8b%e2%80%8b%e2%80%8b%e2%80%8b%e2%80%8b\" title=\"Is it even beneficial to study RD Sharma Class 9 Solutions Chapter 5 VSAQS\u200b\u200b\u200b\u200b\u200b\u200b\u200b?\">Is it even beneficial to study RD Sharma Class 9 Solutions Chapter 5 VSAQS\u200b\u200b\u200b\u200b\u200b\u200b\u200b?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-5-vsaqs\/#are-the-solutions-rd-sharma-class-9-solutions-chapter-5-vasqs-relevant\" title=\"Are the solutions RD Sharma Class 9 Solutions Chapter 5 VASQs relevant?\">Are the solutions RD Sharma Class 9 Solutions Chapter 5 VASQs relevant?<\/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-class-9-solutions-chapter-5-vsaqs\/#how-many-questions-are-there-in-rd-sharma-class-9-solutions-chapter-5-vasqs\" title=\"How many questions are there in RD Sharma Class 9 Solutions Chapter 5 VASQs?\">How many questions are there in RD Sharma Class 9 Solutions Chapter 5 VASQs?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"access-answers-of-rd-sharma-class-9-solutions-chapter-5-vsaqs\"><\/span><strong>Access answers of <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 5 VSAQS&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:268732,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Arial&quot;,&quot;21&quot;:1}\">RD Sharma Class 9 Solutions Chapter 5 VSAQS<\/span><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Question 1: Factorize x<sup>4<\/sup>\u00a0+ x<sup>2<\/sup>\u00a0+ 25<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>x<sup>4<\/sup>\u00a0+ x<sup>2<\/sup>\u00a0+ 25<\/p>\n<p>= (x<sup>2<\/sup>)<sup>\u00a02\u00a0<\/sup>+ 5<sup>2\u00a0<\/sup>+ x<sup>2<\/sup><\/p>\n<p>[using a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0= (a + b)<sup>\u00a02<\/sup>\u00a0\u2013 2ab ]<\/p>\n<p>= (x<sup>2\u00a0<\/sup>+5)<sup>\u00a02\u00a0<\/sup>\u22122(x<sup>2\u00a0<\/sup>) (5) + x<sup>2<\/sup><\/p>\n<p>= (x<sup>2\u00a0<\/sup>+5)<sup>\u00a02\u00a0<\/sup>\u221210x<sup>2\u00a0<\/sup>+ x<sup>2<\/sup><\/p>\n<p>= (x<sup>2\u00a0<\/sup>+ 5)<sup>\u00a02\u00a0<\/sup>\u2212 9x<sup>2<\/sup><\/p>\n<p>= (x<sup>2\u00a0<\/sup>+ 5)<sup>\u00a02\u00a0<\/sup>\u2212 (3x)<sup>\u00a02<\/sup><\/p>\n<p>[using a<sup>2<\/sup>\u00a0\u2013 b<sup>2<\/sup>\u00a0= (a + b)(a \u2013 b ]<\/p>\n<p>= (x<sup>\u00a02\u00a0<\/sup>+ 3x + 5)(x<sup>2\u00a0<\/sup>\u2212 3x + 5)<\/p>\n<p><strong>Question 2: Factorize x<sup>2<\/sup>\u00a0\u2013 1 \u2013 2a \u2013 a<sup>2<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>x<sup>2<\/sup>\u00a0\u2013 1 \u2013 2a \u2013 a<sup>2<\/sup><\/p>\n<p>x<sup>2<\/sup>\u00a0\u2013 (1 + 2a + a<sup>2<\/sup>\u00a0)<\/p>\n<p>x<sup>2<\/sup>\u00a0\u2013 (a + 1)<sup>2<\/sup><\/p>\n<p>(x \u2013 (a + 1)(x + (a + 1)<\/p>\n<p>(x \u2013 a \u2013 1)(x + a + 1)<\/p>\n<p>[using a<sup>2<\/sup>\u00a0\u2013 b<sup>2<\/sup>\u00a0= (a + b)(a \u2013 b) and (a + b)^2 = a^2 + b^2 + 2ab ]<\/p>\n<p><strong>Question 3: If a + b + c =0, then write the value of a<sup>3<\/sup>\u00a0+ b<sup>3<\/sup>\u00a0+ c<sup>3<\/sup>.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>We know, a<sup>3<\/sup>\u00a0+ b<sup>3<\/sup>\u00a0+ c<sup>3<\/sup>\u00a0\u2013 3abc = (a + b +c ) (a<sup>2<\/sup>\u00a0+ b<sup>2\u00a0<\/sup>+ c<sup>2\u00a0<\/sup>\u2013 ab \u2013 bc \u2212 ca)<\/p>\n<p>Put a + b + c =0<\/p>\n<p>This implies<\/p>\n<p>a<sup>3<\/sup>\u00a0+ b<sup>3<\/sup>\u00a0+ c<sup>3<\/sup>\u00a0= 3abc<\/p>\n<p><strong>Question 4: If a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0+ c<sup>2<\/sup>\u00a0= 20 and a + b + c =0, find ab + bc + ca.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>We know, (a+b+c)\u00b2 = a\u00b2 + b\u00b2 + c\u00b2 + 2(ab + bc + ca)<\/p>\n<p>0 = 20 + 2(ab + bc + ca)<\/p>\n<p>-10 = ab + bc + ca<\/p>\n<p>Or ab + bc + ca = -10<\/p>\n<p><strong>Question 5: If a + b + c = 9 and ab + bc + ca = 40, find a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0+ c<sup>2<\/sup>\u00a0.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>We know, (a+b+c)\u00b2 = a\u00b2 + b\u00b2 + c\u00b2 + 2(ab + bc + ca)<\/p>\n<p>9<sup>2<\/sup>\u00a0= a\u00b2 + b\u00b2 + c\u00b2 + 2(40)<\/p>\n<p>81 = a\u00b2 + b\u00b2 + c\u00b2 + 80<\/p>\n<p>\u21d2 a\u00b2 + b\u00b2 + c\u00b2 = 1<\/p>\n<p>This is the complete blog on RD Sharma Solutions Class 9 Maths Chapter 5 VSAQs. To know more about the <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\">CBSE<\/a> Class 9 Maths exam, ask in the comments.\u00a0<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-class-9-solutions-chapter-5-vsaqs\"><\/span><strong>FAQs on <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 5 VSAQS&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:268732,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Arial&quot;,&quot;21&quot;:1}\">RD Sharma Class 9 Solutions Chapter 5 VSAQS<\/span><\/strong><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-1631093595075\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-it-even-beneficial-to-study-rd-sharma-class-9-solutions-chapter-5-vsaqs%e2%80%8b%e2%80%8b%e2%80%8b%e2%80%8b%e2%80%8b%e2%80%8b%e2%80%8b\"><\/span>Is it even beneficial to study RD Sharma Class 9 Solutions Chapter 5 VSAQS\u200b\u200b\u200b\u200b\u200b\u200b\u200b?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, your preparation will be strengthened with this amazing help book. All your questions will be answered by this book.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631093637976\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"are-the-solutions-rd-sharma-class-9-solutions-chapter-5-vasqs-relevant\"><\/span>Are the solutions RD Sharma Class 9 Solutions Chapter 5 VASQs relevant?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The solutions are relevant as they are designed by the subject matter experts. \u00a0<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631093679875\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-are-there-in-rd-sharma-class-9-solutions-chapter-5-vasqs\"><\/span>How many questions are there in RD Sharma Class 9 Solutions Chapter 5 VASQs?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are 5 questions in\u00a0RD Sharma Solutions Class 9 Maths Chapter 5 VSAQs.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Class 9 Solutions Chapter 5 VSAQS: You can easily get a great score in your Maths class tests and assignments when study studying the RD Sharma Solutions Class 9 Maths. There are easy to understand and fully explained solutions designed by subject matter experts. To know more about the RD Sharma Class 9 &#8230; <a title=\"RD Sharma Class 9 Solutions Chapter 5 VSAQS (Updated for 2021-22)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-5-vsaqs\/\" aria-label=\"More on RD Sharma Class 9 Solutions Chapter 5 VSAQS (Updated for 2021-22)\">Read more<\/a><\/p>\n","protected":false},"author":243,"featured_media":125648,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411],"tags":[3086,4388],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125452"}],"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\/243"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=125452"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125452\/revisions"}],"predecessor-version":[{"id":125986,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125452\/revisions\/125986"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/125648"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=125452"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=125452"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=125452"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}