{"id":125248,"date":"2023-09-03T01:39:00","date_gmt":"2023-09-02T20:09:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=125248"},"modified":"2023-12-08T12:16:18","modified_gmt":"2023-12-08T06:46:18","slug":"rd-sharma-class-10-solutions-chapter-2-exercise-2-1","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-2-exercise-2-1\/","title":{"rendered":"RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1 (Updated for 2024)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-125263\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-2-Exercise-2.1.jpg\" alt=\"RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-2-Exercise-2.1.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-2-Exercise-2.1-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1:&nbsp;<\/strong>Problems dealing with finding the zeros of polynomials and verifying the link between the zeros and their coefficients can be addressed in <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-for-maths\/\"><strong>RD Sharma Solutions Class 10<\/strong><\/a> Exercise 2.1. The <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-2-polynomials\/\"><strong>RD Sharma Solutions for Class 10 Maths Chapter 2 Polynomials<\/strong><\/a> Exercise 2.1 PDF is provided here to help students excel in the exercise problems and increase their confidence.<\/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-69d2a194da35f\" 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-69d2a194da35f\"><\/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-10-solutions-chapter-2-exercise-2-1\/#download-rd-sharma-class-10-solutions-chapter-2-exercise-21-free-pdf\" title=\"Download RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1 Free PDF\">Download RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1 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-class-10-solutions-chapter-2-exercise-2-1\/#access-answers-to-rd-sharma-solutions-class-10-maths-chapter-2-exercise-21-important-question-with-answers\" title=\"Access answers to RD Sharma Solutions Class 10 Maths Chapter 2 Exercise 2.1- Important Question with Answers\">Access answers to RD Sharma Solutions Class 10 Maths Chapter 2 Exercise 2.1- 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-class-10-solutions-chapter-2-exercise-2-1\/#faqs-on-rd-sharma-class-10-solutions-chapter-2-exercise-21\" title=\"FAQs on RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1\">FAQs on RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1<\/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-class-10-solutions-chapter-2-exercise-2-1\/#where-can-i-download-rd-sharma-class-10-solutions-chapter-2-exercise-21-free-pdf\" title=\"Where can I download RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1 free PDF?\">Where can I download RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1 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-class-10-solutions-chapter-2-exercise-2-1\/#what-are-the-benefits-of-using-rd-sharma-class-10-solutions-chapter-2-exercise-21\" title=\"What are the benefits of using RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1?\">What are the benefits of using RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1?<\/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-class-10-solutions-chapter-2-exercise-2-1\/#is-it-required-to-remember-all-of-the-questions-in-chapter-2-exercise-21-of-rd-sharma-solutions-for-class-10-maths\" title=\"Is it required to remember all of the questions in Chapter 2 Exercise 2.1 of RD Sharma Solutions for Class 10 Maths?\">Is it required to remember all of the questions in Chapter 2 Exercise 2.1 of RD Sharma Solutions for Class 10 Maths?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-class-10-solutions-chapter-2-exercise-21-free-pdf\"><\/span>Download RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1 Free PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">&nbsp;<\/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\/09\/RD-Sharma-Solution-Class-10-Chapter-2-Exercise-2.1.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solution-Class-10-Chapter-2-Exercise-2.1.pdf\">RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1<\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-answers-to-rd-sharma-solutions-class-10-maths-chapter-2-exercise-21-important-question-with-answers\"><\/span>Access answers to RD Sharma Solutions Class 10 Maths Chapter 2 Exercise 2.1- Important Question with Answers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Question 1.<br>Find the zeros of each of the following quadratic polynomials and verify the relationship between the zeros and their coefficients :<br><img src=\"https:\/\/farm2.staticflickr.com\/1733\/42398743182_1c2b4006da_o.png\" alt=\"rd-sharma-class-10-solutions-chapter-2-polynomials-ex-2-1-1\" width=\"355\" height=\"465\"><br>Solution:<br>(i) f(x) = x<sup>2<\/sup>&nbsp;\u2013 2x \u2013 8<br><img src=\"https:\/\/farm1.staticflickr.com\/894\/27579169437_7f2d11bff7_o.png\" alt=\"RD Sharma Class 10 Chapter 2 Polynomials\" width=\"341\" height=\"523\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1727\/27579169927_c1eb119d7e_o.png\" alt=\"Polynomials Class 10 RD Sharma\" width=\"361\" height=\"447\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1725\/27579170477_e6055ecfea_o.png\" alt=\"RD Sharma Class 10 Solutions Real Numbers\" width=\"358\" height=\"602\"><br><img src=\"https:\/\/farm1.staticflickr.com\/881\/27579171147_43b0378e39_o.png\" alt=\"RD Sharma Class 10 Solutions Chapter 2 Polynomials\" width=\"350\" height=\"363\"><br><img src=\"https:\/\/farm1.staticflickr.com\/898\/42398740932_2bfffa49c6_o.png\" alt=\"RD Sharma Class 10 Pdf Chapter 2 Polynomials\" width=\"266\" height=\"547\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1735\/42398741162_7b076efd96_o.png\" alt=\"RD Sharma Solutions Class 10 Chapter 2 Polynomials\" width=\"353\" height=\"428\"><br><img src=\"https:\/\/farm1.staticflickr.com\/889\/42398741422_ec0d7bc7e6_o.png\" alt=\"Learncbse.In Class 10 Chapter 2 Polynomials\" width=\"342\" height=\"416\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1745\/41726021324_e3c4e6444f_o.png\" alt=\"Class 10 RD Sharma Solutions Chapter 2 Polynomials\" width=\"352\" height=\"550\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1727\/42398741842_72e54d6b9f_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 2 Polynomials\" width=\"363\" height=\"614\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1731\/42398741942_f3e32abd06_o.png\" alt=\"RD Sharma Class 10 Solution Chapter 2 Polynomials\" width=\"339\" height=\"355\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1735\/42398742102_1f19ba9ee2_o.png\" alt=\"RD Sharma Class 10 Pdf Ebook Chapter 2 Polynomials\" width=\"361\" height=\"571\"><br><img src=\"https:\/\/farm1.staticflickr.com\/885\/42398742172_77f5d537e7_o.png\" alt=\"RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 2 Polynomials\" width=\"354\" height=\"390\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1726\/42398742262_0f66d9c428_o.png\" alt=\"RD Sharma Class 10 Book Pdf Free Download Chapter 2 Polynomials \" width=\"346\" height=\"388\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1759\/42398742502_eddcb00d51_o.png\" alt=\"Class 10 RD Sharma Chapter 2 Polynomials\" width=\"354\" height=\"593\"><br><img src=\"https:\/\/farm1.staticflickr.com\/874\/42398742732_ed9d96acab_o.png\" alt=\"RD Sharma Maths Class 10 Solutions Chapter 2 Polynomials\" width=\"360\" height=\"528\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1753\/42398742902_f38ae0bbd4_o.png\" alt=\"RD Sharma 10 Class Solutions Chapter 2 Polynomials\" width=\"368\" height=\"445\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1751\/42398743092_301d11b2a4_o.png\" alt=\"RD Sharma Class 10 Textbook PDF Chapter 2 Polynomials\" width=\"351\" height=\"573\"><\/p>\n<p>Question 2.<br>For each of the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also, find the zeroes of these polynomials by factorization.<br><img src=\"https:\/\/farm2.staticflickr.com\/1755\/42398743502_a76fa6cc85_o.png\" alt=\"Maths RD Sharma Class 10 Solutions Chapter 2 Polynomials\" width=\"364\" height=\"139\"><br>Solution:<br>(i) Given that, the sum of zeroes (S) = \u2013 \\(\\frac { 8 }{ 3 }\\)<br>and product of zeroes (P) = \\(\\frac { 4 }{ 3 }\\)<br>Required quadratic expression,<br><img src=\"https:\/\/farm2.staticflickr.com\/1725\/42398743232_3911e99022_o.png\" alt=\"10th Maths Solution Book Pdf Chapter 2 Polynomials\" width=\"359\" height=\"497\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1729\/42398743312_30fd2daaa2_o.png\" alt=\"RD Sharma 10 Chapter 2 Polynomials\" width=\"361\" height=\"476\"><br><img src=\"https:\/\/farm1.staticflickr.com\/902\/42398743412_e2e7af085a_o.png\" alt=\"RD Sharma Class 10 Book Pdf Chapter 2 Polynomials\" width=\"325\" height=\"170\"><\/p>\n<p>Question 3.<br>If \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = x<sup>2<\/sup>&nbsp;\u2013 5x + 4, find the value of \\(\\frac { 1 }{ \\alpha } +\\frac { 1 }{ \\beta } -2\\alpha \\beta\\).<br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/897\/42398743592_9260223f35_o.png\" alt=\"Solution Of RD Sharma Class 10 Chapter 2 Polynomials\" width=\"314\" height=\"418\"><\/p>\n<p>Question 4.<br>If \u03b1 and \u03b2 are the zeros of the quadratic polynomial p(y) = 5y<sup>2<\/sup>&nbsp;\u2013 7y + 1, find the value of \\(\\frac { 1 }{ \\alpha } +\\frac { 1 }{ \\beta }\\)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1759\/42398743742_a45ab5a944_o.png\" alt=\"RD Sharma 10 Solutions Chapter 2 Polynomials\" width=\"258\" height=\"132\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1758\/42398743652_790de5e857_o.png\" alt=\"RD Sharma Maths Book For Class 10 Solution Chapter 2 Polynomials\" width=\"265\" height=\"219\"><\/p>\n<p>Question 5.<br>If \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = x<sup>2<\/sup>&nbsp;\u2013 x \u2013 4, find the value of \\(\\frac { 1 }{ \\alpha } +\\frac { 1 }{ \\beta } -\\alpha \\beta\\)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1738\/42398743862_7374466142_o.png\" alt=\"RD Sharma Class 10 Maths Chapter 2 Polynomials\" width=\"320\" height=\"308\"><\/p>\n<p>Question 6.<br>If \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = x<sup>2<\/sup>&nbsp;+ x \u2013 2, find the value of \\(\\frac { 1 }{ \\alpha } -\\frac { 1 }{ \\beta }\\)<br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/893\/42398744072_79ef9eb50a_o.png\" alt=\"RD Sharma Mathematics Class 10 Pdf Download Free Chapter 2 Polynomials\" width=\"246\" height=\"194\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1726\/42398743942_36f6e0d12b_o.png\" alt=\"Answers Of RD Sharma Class 10 Chapter 2 Polynomials\" width=\"308\" height=\"193\"><\/p>\n<p>Question 7.<br>If one zero of the quadratic polynomial f(x) = 4x<sup>2<\/sup>&nbsp;\u2013 8kx \u2013 9 is negative of the other, find the value of k.<br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/878\/42398744202_c9de5b53ef_o.png\" alt=\"Class 10 RD Sharma Pdf Chapter 2 Polynomials\" width=\"352\" height=\"314\"><\/p>\n<p>Question 8.<br>If the sum of the zeros of the quadratic polynomial f(t) = kt<sup>2<\/sup>&nbsp;+ 2t + 3k is equal to their product, find the value of k.<br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/901\/42398744242_a7901f17a3_o.png\" alt=\"RD Sharma Class 10 Solutions Pdf Free Download Chapter 2 Polynomials\" width=\"348\" height=\"300\"><\/p>\n<p>Question 9.<br>If \u03b1 and \u03b2 are the zeros of the quadratic polynomial p(x) = 4x<sup>2<\/sup>&nbsp;\u2013 5x \u2013 1, find the value of \u03b1<sup>2<\/sup>\u03b2 + \u03b1\u03b2<sup>2<\/sup>.<br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/885\/42398744362_95f370a585_o.png\" alt=\"RD Sharma Class 10 Chapter 2 Polynomials\" width=\"256\" height=\"264\"><\/p>\n<p>Question 10.<br>If \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(t) = t<sup>2<\/sup>&nbsp;\u2013 4t + 3, find the value of \u03b1<sup>4<\/sup>\u03b2<sup>3<\/sup>&nbsp;+ \u03b1<sup>3<\/sup>\u03b2<sup>4<\/sup>.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1752\/42398744412_557f2afef4_o.png\" alt=\"Polynomials Class 10 RD Sharma\" width=\"279\" height=\"243\"><\/p>\n<p>Question 11.<br>If \u03b1 and \u03b2 are the zeros of the quadratic polynomial f (x) = 6x<sup>4<\/sup>&nbsp;+ x \u2013 2, find the value of \\(\\frac { \\alpha }{ \\beta } +\\frac { \\beta }{ \\alpha }\\)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1737\/42398744582_941507243d_o.png\" alt=\"RD Sharma Class 10 Solutions Real Numbers\" width=\"226\" height=\"179\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1730\/42398744512_b73d00f2e6_o.png\" alt=\"RD Sharma Class 10 Solutions Chapter 2 Polynomials\" width=\"314\" height=\"341\"><\/p>\n<p>Question 12.<br>If \u03b1 and \u03b2 are the zeros of the quadratic polynomial p(s) = 3s<sup>2<\/sup>&nbsp;\u2013 6s + 4, find the value of \\(\\frac { \\alpha }{ \\beta } +\\frac { \\beta }{ \\alpha } +2\\left( \\frac { 1 }{ \\alpha } +\\frac { 1 }{ \\beta } \\right) +3\\alpha \\beta\\)<br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/894\/41547045045_10df25fb20_o.png\" alt=\"RD Sharma Class 10 Pdf Chapter 2 Polynomials\" width=\"323\" height=\"497\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1745\/42398744682_05df1ddcd5_o.png\" alt=\"RD Sharma Solutions Class 10 Chapter 2 Polynomials\" width=\"289\" height=\"230\"><\/p>\n<p>Question 13.<br>If the squared difference of the zeros of the quadratic polynomial f(x) = x<sup>2<\/sup>&nbsp;+ px + 45 is equal to 144, find the value of p<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1738\/41547045095_2689167772_o.png\" alt=\"Learncbse.In Class 10 Chapter 2 Polynomials\" width=\"311\" height=\"326\"><\/p>\n<p>Question 14.<br>If \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = x<sup>2<\/sup>&nbsp;\u2013 px + q, prove that:<br><img src=\"https:\/\/farm1.staticflickr.com\/902\/41547045415_754dd17dd5_o.png\" alt=\"Class 10 RD Sharma Solutions Chapter 2 Polynomials Ex 2.1\" width=\"237\" height=\"65\"><br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1740\/41547045175_80b6401230_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 2 Polynomials\" width=\"257\" height=\"185\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1722\/41547045295_1d6f80c377_o.png\" alt=\"RD Sharma Class 10 Solution Chapter 2 Polynomials\" width=\"303\" height=\"539\"><\/p>\n<p>Question 15.<br>If \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = x<sup>2<\/sup>&nbsp;\u2013 p(x + 1) \u2013 c, show that (\u03b1 + 1) (\u03b2 + 1) = 1 \u2013 c.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1730\/41547045535_a5fc94d6af_o.png\" alt=\"RD Sharma Class 10 Pdf Ebook Chapter 2 Polynomials\" width=\"293\" height=\"323\"><\/p>\n<p>Question 16.<br>If \u03b1 and \u03b2 are the zeros of the quadratic polynomial such that \u03b1 + \u03b2 = 24 and \u03b1 \u2013 \u03b2 = 8, find a quadratic polynomial having \u03b1 and \u03b2 as its zeros.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1724\/41547045625_47846b9009_o.png\" alt=\"RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 2 Polynomials\" width=\"352\" height=\"249\"><\/p>\n<p>Question 17.<br>If \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = x<sup>2<\/sup>&nbsp;\u2013 1, find a quadratic polynomial whose zeros are \\(\\frac { 2\\alpha }{ \\beta }\\) and \\(\\frac { 2\\beta }{ \\alpha }\\)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1757\/41547045925_f93df05c5d_o.png\" alt=\"RD Sharma Class 10 Book Pdf Free Download Chapter 2 Polynomials\" width=\"332\" height=\"421\"><br><img src=\"https:\/\/farm1.staticflickr.com\/894\/41547045705_c4f7e91ea4_o.png\" alt=\"Class 10 RD Sharma Chapter 2 Polynomials\" width=\"350\" height=\"269\"><\/p>\n<p>Question 18.<br>If \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = x<sup>2<\/sup>&nbsp;\u2013 3x \u2013 2, find a quadratic polynomial whose zeros are \\(\\frac { 1 }{ 2\\alpha +\\beta }\\) and \\(\\frac { 1 }{ 2\\beta +\\alpha }\\)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1728\/41547046225_408cb12432_o.png\" alt=\"RD Sharma Maths Class 10 Solutions Chapter 2 Polynomials\" width=\"341\" height=\"554\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1739\/41547046035_e51ac4f6c2_o.png\" alt=\"RD Sharma 10 Class Solutions Chapter 2 Polynomials\" width=\"352\" height=\"545\"><\/p>\n<p>Question 19.<br>If \u03b1 and \u03b2 are the zeroes of the polynomial f(x) = x<sup>2<\/sup>&nbsp;+ px + q, form a polynomial whose zeros are (\u03b1 + \u03b2)<sup>2<\/sup>&nbsp;and (\u03b1 \u2013 \u03b2)<sup>2<\/sup>.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1722\/41547046395_4c9df65f85_o.png\" alt=\"RD Sharma Class 10 Textbook PDF Chapter 2 Polynomials\" width=\"345\" height=\"325\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1737\/41547046265_5b00d178a9_o.png\" alt=\"Maths RD Sharma Class 10 Solutions Chapter 2 Polynomials\" width=\"323\" height=\"249\"><\/p>\n<p>Question 20.<br>If \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = x<sup>2<\/sup>&nbsp;\u2013 2x + 3, find a polynomial whose roots are :<br>(i) \u03b1 + 2, \u03b2 + 2<br>(ii) \\(\\frac { \\alpha -1 }{ \\alpha +1 } ,\\frac { \\beta -1 }{ \\beta +1 }\\)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1744\/41547046775_67beb4fe3e_o.png\" alt=\"10th Maths Solution Book Pdf Chapter 2 Polynomials\" width=\"361\" height=\"558\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1754\/41547046515_de76075d17_o.png\" alt=\"RD Sharma 10 Chapter 2 Polynomials\" width=\"292\" height=\"385\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1756\/41547046695_a5fc0640dd_o.png\" alt=\"RD Sharma Class 10 Book Pdf Chapter 2 Polynomials\" width=\"349\" height=\"308\"><\/p>\n<p>Question 21.<br>If \u03b1 and \u03b2 are the zeros of the quadratic polynomial f(x) = ax<sup>2<\/sup>&nbsp;+ bx + c, then evaluate :<br><img src=\"https:\/\/farm2.staticflickr.com\/1758\/41547047955_410953bbc0_o.png\" alt=\"Solution Of RD Sharma Class 10 Chapter 2 Polynomials\" width=\"356\" height=\"190\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1755\/41547046875_62f4519922_o.png\" alt=\"RD Sharma 10 Solutions Chapter 2 Polynomials\" width=\"259\" height=\"130\"><br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/897\/41547046995_607de07f01_o.png\" alt=\"RD Sharma Maths Book For Class 10 Solution Chapter 2 Polynomials\" width=\"247\" height=\"367\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1730\/41547047125_a825fb508c_o.png\" alt=\"RD Sharma Class 10 Maths Chapter 2 Polynomials\" width=\"301\" height=\"447\"><br><img src=\"https:\/\/farm1.staticflickr.com\/893\/41547047235_6db7543618_o.png\" alt=\"RD Sharma Mathematics Class 10 Pdf Download Free Chapter 2 Polynomials \" width=\"275\" height=\"485\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1753\/41547047345_148fde29aa_o.png\" alt=\"Answers Of RD Sharma Class 10 Chapter 2 Polynomials\" width=\"249\" height=\"451\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1742\/41547047465_e3456fe087_o.png\" alt=\"Class 10 RD Sharma Pdf Chapter 2 Polynomials\" width=\"351\" height=\"545\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1751\/41547047535_7fc17a87f8_o.png\" alt=\"RD Sharma Class 10 Solutions Pdf Free Download Chapter 2 Polynomials\" width=\"343\" height=\"414\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1743\/41547047645_673cf4f9e6_o.png\" alt=\"RD Sharma Class 10 Chapter 2 Polynomials\" width=\"362\" height=\"511\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1745\/41547047745_843a64155d_o.png\" alt=\"Polynomials Class 10 RD Sharma\" width=\"333\" height=\"432\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1756\/41547047835_ebc0bf80b5_o.png\" alt=\"RD Sharma Class 10 Solutions Real Numbers\" width=\"205\" height=\"125\"><\/p>\n<p>We have provided complete details of RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1. If you have any queries related to <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE<\/strong><\/a>&nbsp;Class 10, feel free to ask us in the comment section below.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-class-10-solutions-chapter-2-exercise-21\"><\/span>FAQs on RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1<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-1631087868306\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-download-rd-sharma-class-10-solutions-chapter-2-exercise-21-free-pdf\"><\/span>Where can I download RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1 free PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1 free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631087975461\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-benefits-of-using-rd-sharma-class-10-solutions-chapter-2-exercise-21\"><\/span>What are the benefits of using RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>1. Correct answers according to the last CBSE guidelines and syllabus.<br \/>2. The RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1 is written in simple language to assist students in their board examination, &amp; competitive examination preparation.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631088047337\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-it-required-to-remember-all-of-the-questions-in-chapter-2-exercise-21-of-rd-sharma-solutions-for-class-10-maths\"><\/span>Is it required to remember all of the questions in Chapter 2 Exercise 2.1 of RD Sharma Solutions for Class 10 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, all of the questions in RD Sharma Solutions for Class 10 Maths Chapter 2 Exercise 2.1 must be learned. These questions may appear on both board exams and class tests. Students will be prepared for their board exams if they learn these questions.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1:&nbsp;Problems dealing with finding the zeros of polynomials and verifying the link between the zeros and their coefficients can be addressed in RD Sharma Solutions Class 10 Exercise 2.1. The RD Sharma Solutions for Class 10 Maths Chapter 2 Polynomials Exercise 2.1 PDF is provided here to &#8230; <a title=\"RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1 (Updated for 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-2-exercise-2-1\/\" aria-label=\"More on RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1 (Updated for 2024)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":125263,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3243,9206,73520,4388],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125248"}],"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=125248"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125248\/revisions"}],"predecessor-version":[{"id":499612,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125248\/revisions\/499612"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/125263"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=125248"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=125248"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=125248"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}