{"id":125509,"date":"2023-09-09T19:27:00","date_gmt":"2023-09-09T13:57:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=125509"},"modified":"2023-09-11T15:02:05","modified_gmt":"2023-09-11T09:32:05","slug":"rd-sharma-class-10-solutions-chapter-3-exercise-3-5","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-3-exercise-3-5\/","title":{"rendered":"RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5 (Updated for 2023-24)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-125556\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-3-Exercise3.5.jpg\" alt=\"RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-3-Exercise3.5.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-3-Exercise3.5-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5:&nbsp;<\/strong>This exercise investigates all of these solvability conditions. Kopykitab&#8217;s experts prepared <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-for-maths\/\"><strong>RD Sharma Class 10 Solutions<\/strong><\/a> can assist students in gaining a good conceptual understanding of the subject. Students can also refer to the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-3-pair-of-linear-equations-in-two-variables\/\"><strong>RD Sharma Solutions for Class 10 Maths Chapter 3<\/strong><\/a> Pair Of Linear Equations In Two Variables Exercise 3.5 PDF for more information.<\/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-69d7c098b592a\" 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-69d7c098b592a\"><\/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-3-exercise-3-5\/#download-rd-sharma-class-10-solutions-chapter-3-exercise-35-free-pdf\" title=\"Download RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5 Free PDF\">Download RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5 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-3-exercise-3-5\/#access-answers-to-rd-sharma-solutions-class-10-maths-chapter-3-exercise-35-important-question-with-answers\" title=\"Access answers to RD Sharma Solutions Class 10 Maths Chapter 3 Exercise 3.5- Important Question with Answers\">Access answers to RD Sharma Solutions Class 10 Maths Chapter 3 Exercise 3.5- 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-3-exercise-3-5\/#faqs-on-rd-sharma-class-10-solutions-chapter-3-exercise-35\" title=\"FAQs on RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5\">FAQs on RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5<\/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-3-exercise-3-5\/#where-can-i-download-rd-sharma-class-10-solutions-chapter-3-exercise-35-free-pdf\" title=\"Where can I download RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5 free PDF?\">Where can I download RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5 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-3-exercise-3-5\/#is-it-required-to-practice-all-of-the-questions-in-rd-sharma-class-10-solutions-chapter-3-exercise-35\" title=\"Is it required to practice all of the questions in RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5?\">Is it required to practice all of the questions in RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5?<\/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-3-exercise-3-5\/#what-are-the-benefits-of-using-rd-sharma-class-10-solutions-chapter-3-exercise-35\" title=\"What are the benefits of using RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5?\">What are the benefits of using RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-class-10-solutions-chapter-3-exercise-35-free-pdf\"><\/span>Download RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5 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-3-Exercise-3.5.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solution-Class-10-Chapter-3-Exercise-3.5.pdf\">RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5<\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-answers-to-rd-sharma-solutions-class-10-maths-chapter-3-exercise-35-important-question-with-answers\"><\/span>Access answers to RD Sharma Solutions Class 10 Maths Chapter 3 Exercise 3.5- Important Question with Answers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Question 1.<\/p>\n<div>\n<div><main>\n<p>x \u2013 3y = 3<br>3x \u2013 9y = 2 (C.B.S.E. 1994)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1744\/28635158488_69052b701b_o.png\" alt=\"RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"330\" height=\"247\"><\/p>\n<p>Question 2.<br>2x + y = 5<br>4x + 2y = 10 (C.B.S.E. 1995C)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1726\/27637583667_1fd001c27e_o.png\" alt=\"Pair Of Linear Equations In Two Variables Class 10 RD Sharma\" width=\"347\" height=\"246\"><\/p>\n<p>Question 3.<br>3x \u2013 5y = 20<br>6x \u2013 10y = 40 (C.B.S.E. 1993)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1748\/28635158948_ca86a7ff3d_o.png\" alt=\"RD Sharma Class 10 Solutions Pair Of Linear Equations In Two Variables\" width=\"324\" height=\"216\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1738\/28635158768_8808edaa28_o.png\" alt=\"RD Sharma Class 10 Solutions Pair Of Linear Equations In Two Variables\" width=\"261\" height=\"80\"><\/p>\n<p>Question 4.<br>x \u2013 2y = 8<br>5x \u2013 10y = 10 (C.B.S.E. 1993)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1736\/28635159188_366382ebd6_o.png\" alt=\"RD Sharma Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"337\" height=\"303\"><\/p>\n<p>Find the value of k for which the following system of equations has a unique solution: (5 \u2013 8)<br>Question 5.<br>kx + 2y = 5<br>3x + y = 1 (C.B.S.E. 1990C, 92C)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1742\/28635159668_08f6572242_o.png\" alt=\"RD Sharma Class 10 Pdf Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"221\" height=\"208\"><\/p>\n<p>Question 6.<br>4x + ky + 8 = 0<br>2x + 2y + 2 = 0 [NCERT]<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1748\/27637584397_792675f654_o.png\" alt=\"RD Sharma Solutions Class 10 Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"215\" height=\"101\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1721\/27637584287_aa82dd0768_o.png\" alt=\"RD Sharma Solutions Class 10 Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"163\" height=\"180\"><\/p>\n<p>Question 7.<br>4x \u2013 5y = k<br>2x \u2013 3y = 12<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1754\/28635159878_290457a658_o.png\" alt=\"Learncbse.In Class 10 Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"233\" height=\"283\"><\/p>\n<p>Question 8.<br>x + 2y = 3<br>5x + ky + 7 = 0<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1734\/28635160038_1a3fd54fd7_o.png\" alt=\"Class 10 RD Sharma Solutions Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"223\" height=\"225\"><\/p>\n<p>Find the value of k for which each of the following systems of equations has infinitely many solutions: (9 \u2013 19)<br>Question 9.<br>2x + 3y \u2013 5 = 0<br>6x + ky \u2013 15 = 0 (C.B.S.E. 1991)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1725\/28635160418_e95e5546ef_o.png\" alt=\"Class 10 RD Sharma Solutions Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"344\" height=\"312\"><\/p>\n<p>Question 10.<br>4x + 5y = 3<br>kx + 15y = 9 (C.B.S.E. 1990C)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1754\/28635160578_b448126e51_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"343\" height=\"334\"><\/p>\n<p>Question 11.<br>kx \u2013 2y + 6 = 0<br>4x \u2013 3y + 9 = 0<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1725\/27637585507_9692b69f74_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"294\" height=\"186\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1751\/28635160898_0a3671b8d7_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"351\" height=\"181\"><\/p>\n<p>Question 12.<br>8x + 5y = 9<br>kx + 10y = 18 (C.B.S.E. 1999)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1729\/27637585717_311f503080_o.png\" alt=\"RD Sharma Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"354\" height=\"338\"><\/p>\n<p>Question 13.<br>2x \u2013 3y = 7<br>(k + 2) x + (2k + 1) y = 3 (2k \u2013 1) (C.B.S.E. 1999)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1732\/27637586177_09d2d9438c_o.png\" alt=\"RD Sharma Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"349\" height=\"275\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1756\/27637586017_b016cf742c_o.png\" alt=\"RD Sharma Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"346\" height=\"360\"><\/p>\n<p>Question 14.<br>2x + 3y = 2<br>(k + 2)x + (2k + 1) y = 2 (k \u2013 1) (C.B.S.E. 2000, 2003)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1743\/40700145910_3c456ddea8_o.png\" alt=\"RD Sharma Class 10 Pdf Ebook Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"346\" height=\"512\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1733\/27637586297_da49a3e9dd_o.png\" alt=\"RD Sharma Class 10 Pdf Ebook Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"273\" height=\"146\"><\/p>\n<p>Question 15.<br>x + (k + 1) y = 4<br>(k + 1) x + 9y = 5k + 2 (C.B.S.E. 2000C)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1753\/28635162618_83fc411f09_o.png\" alt=\"RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"354\" height=\"561\"><\/p>\n<p>Question 16.<br>kx + 3y = 2k + 1<br>2(k+ 1) x + 9y = 7k + 1 (C.B.S.E. 2000C)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1729\/40700146530_5271033382_o.png\" alt=\"RD Sharma Class 10 Book Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"337\" height=\"103\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1723\/40700146300_6d9788e273_o.png\" alt=\"Class 10 RD Sharma Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"301\" height=\"536\"><\/p>\n<p>Question 17.<br>2x + (k \u2013 2) y = k<br>6x + (2k \u2013 1) y = 2k + 5 (C.B.S.E. 2000C)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1743\/28635164038_aa24ca3943_o.png\" alt=\"Class 10 RD Sharma Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"326\" height=\"384\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1730\/40700146850_96892ec87e_o.png\" alt=\"Class 10 RD Sharma Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"256\" height=\"236\"><\/p>\n<p>Question 18.<br>2x + 3y = 7<br>(k + 1) x + (2k \u2013 1)y = 4k + 1 (C.B.S.E. 2001)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1747\/41605837545_cb753ab33f_o.png\" alt=\"RD Sharma Maths Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"340\" height=\"602\"><\/p>\n<p>Question 19.<br>2x + 3y = k<br>(k \u2013 1) x + (k + 2) y = 3k (C.B.S.E. 2001)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1749\/41605837745_1a9ae38085_o.png\" alt=\"RD Sharma 10 Class Solutions Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"328\" height=\"556\"><\/p>\n<p>Find the value of k for which the following system of equations has no solution : (20 \u2013 25) :<br>Question 20.<br>kx \u2013 5y = 2<br>6x + 2y = 1 (C.B.S.E. 1994C)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1747\/41605837985_d4c137a34e_o.png\" alt=\"RD Sharma 10 Class Solutions Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"264\" height=\"247\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1742\/28635164468_384f29b42b_o.png\" alt=\"RD Sharma Class 10 Textbook PDF Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"204\" height=\"256\"><\/p>\n<p>Question 21.<br>x + 2y = 0<br>2x + ky = 5 (C.B.S.E. 1993C)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1746\/28635164808_7d24d2fe9f_o.png\" alt=\"RD Sharma Class 10 Textbook PDF Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"249\" height=\"386\"><\/p>\n<p>Question 22.<br>3x \u2013 4y + 7 = 0<br>kx + 3y \u2013 5 = 0 (C.B.S.E. 1996)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1753\/40700147650_137bebc3cf_o.png\" alt=\"Maths RD Sharma Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"228\" height=\"189\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1757\/41605838235_d347e4852e_o.png\" alt=\"10th Maths Solution Book Pdf Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"279\" height=\"380\"><\/p>\n<p>Question 23.<br>2x \u2013 ky + 3 = 0<br>3x + 2y \u2013 1 = 0 (C.B.S.E. 1996)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1754\/40700147890_70d3c55d55_o.png\" alt=\"RD Sharma 10 Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"242\" height=\"518\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1724\/40700147750_8fbc9d068e_o.png\" alt=\"RD Sharma 10 Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"151\" height=\"121\"><\/p>\n<p>Question 24.<br>2x + ky = 11<br>5x \u2013 7y = 5 (C.B.S.E. 1995)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1754\/41605838755_535938f20e_o.png\" alt=\"RD Sharma Class 10 Book Pdf Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"278\" height=\"626\"><\/p>\n<p>Question 25.<br>kx + 3y = 3<br>12x + ky = 6<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1747\/40700148150_c8d18e5ebe_o.png\" alt=\"Solution Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"348\" height=\"78\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1758\/41605838835_ba661761bc_o.png\" alt=\"Solution Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"195\" height=\"177\"><\/p>\n<p>Question 26.<br>For what value of k, the following system of equations will be inconsistent?<br>4x + 6y = 11<br>2x + ky = 1 (C.B.S.E. 1994C)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1742\/28635165938_c86a420244_o.png\" alt=\"RD Sharma Maths Book For Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"273\" height=\"375\"><\/p>\n<p>Question 27.<br>For what value of a system of equations<br>\u03b1x + 3y = \u03b1 \u2013 3<br>12x + \u03b1y = \u03b1<br>will have no solution. (C.B.S.E. 2003)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1754\/40700148600_eac220052d_o.png\" alt=\"RD Sharma Maths Book For Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"259\" height=\"133\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1743\/40700148420_dd39046373_o.png\" alt=\"RD Sharma Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"253\" height=\"452\"><\/p>\n<p>Question 28.<br>Find the value of k for which the system<br>kx + 2y = 5<br>3x + y = 1<br>has (i) a unique solution, and (ii) no solution.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1733\/41605839605_85705026d5_o.png\" alt=\"RD Sharma Mathematics Class 10 Pdf Download Free Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"339\" height=\"391\"><br>k = 6<\/p>\n<p>Question 29.<br>Prove that there is a value of c (\u2260 0) for which the system<br>6x + 3y = c \u2013 3<br>12x + cy = c<br>has infinitely many solutions. Find this value.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1751\/28635166258_392fe3d959_o.png\" alt=\"Answers Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"349\" height=\"478\"><\/p>\n<p>Question 30.<br>Find the values of k for which the system<br>2x + k y = 1<br>3x \u2013 5y = 7<br>will have (i) a unique solution, and (ii) no solution.<br>Is there a value of k for which the system has infinitely many solutions?<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1740\/28635166358_f2949c252f_o.png\" alt=\"rd-sharma-class-10-solutions-chapter-3-pair-of-linear-equations-in-two-variables-ex-3-5-30\" width=\"238\" height=\"106\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1727\/41605839885_3828faf981_o.png\" alt=\"Class 10 RD Sharma Pdf Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"352\" height=\"401\"><\/p>\n<p>Question 31.<br>For what value of k, the following system of equations will represent the coincident lines?<br>x + 2y + 7 = 0<br>2x + ky + 14 = 0 (C.B.S.E. 1992)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1741\/28635166488_f07a45cfff_o.png\" alt=\"Class 10 RD Sharma Pdf Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"343\" height=\"371\"><\/p>\n<p>Question 32.<br>Obtain the condition for the following system of linear equations to have a unique solution<br>ax + by = c<br>lx + my = n (C.B.S.E. 1991C)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1728\/28635166618_488bd6925b_o.png\" alt=\"RD Sharma Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"275\" height=\"247\"><\/p>\n<p>Question 33.<br>Determine the values of a and b so that the following system of linear equations has infinitely many solutions.<br>(2a \u2013 1) x + 3y \u2013 5 = 0<br>3x + (b \u2013 1) y \u2013 2 = 0 (C.B.S.E. 2001C)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1743\/28635166758_835f35a949_o.png\" alt=\"Pair Of Linear Equations In Two Variables Class 10 RD Sharma\" width=\"334\" height=\"548\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1750\/28635166698_2b79bb6b88_o.png\" alt=\"Pair Of Linear Equations In Two Variables Class 10 RD Sharma\" width=\"198\" height=\"52\"><\/p>\n<p>Question 34.<br>Find the values of a and b for which the following system of linear equations has an infinite number of solutions :<br>2x \u2013 3y = 7<br>(a + b) x \u2013 (a + b \u2013 3) y = 4a + b (C.B.S.E. 2002)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1725\/28635166938_41d7b45b19_o.png\" alt=\"RD Sharma Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"349\" height=\"622\"><\/p>\n<p>Question 35.<br>Find the values of p and q for which the following system of linear equations has an infinite number of solutions:<br>2x + 3y = 9<br>(p + q) x + (2p \u2013 q) y = 3 (p + q + 1)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1754\/40700150300_f53d5f3e21_o.png\" alt=\"RD Sharma Solutions Class 10 Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"351\" height=\"401\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1745\/40700149720_ed7fd0d46e_o.png\" alt=\"RD Sharma Solutions Class 10 Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"357\" height=\"323\"><\/p>\n<p>Question 36.<br>Find the value of a and b for which the following system of equations has infinitely many solutions :<br>(i) (2a \u2013 1) x \u2013 3y = 5<br>3x + (b \u2013 2) y = 3 (C.B.S.E. 2002C)<br>(ii) 2x \u2013 (2a + 5) y = 5<br>(2b + 1) x \u2013 9y = 15 (C.B.S.E. 2002C)<br>(iii) (a \u2013 1) x + 3y = 2<br>6x + (1 \u2013 2b) y = 6 (C.B.S.E. 2002C)<br>(iv) 3x + 4y = 12<br>(a + b) x + 2 (a \u2013 b) y = 5a \u2013 1 (C.B.S.E. 2002C)<br>(v) 2x + 3y = 7<br>(a \u2013 b) x + (a + b) y = 3a + b \u2013 2<br>(vi) 2x + 3y \u2013 7 = 0 [CBSE 2010]<br>(a \u2013 1) x + (a + 1) y = (3a \u2013 1)<br>(vii) 2x + 3y = 7<br>(a \u2013 1) x + (a + 2) y = 3a [CBSE 2010]<br>(viii) x + 2y = 1<br>(a \u2013 b) x + (a + b) y = a + b \u2013 2 [NCERT Exemplar]<br>(ix) 2x + 3y = 7<br>2ax + ay = 28 \u2013 by [NCERT Exemplar]<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1731\/42508185791_9a56070cce_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"356\" height=\"599\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1741\/40700150400_ab8ef30c8f_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"336\" height=\"421\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1727\/28635167738_0c277edf99_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"344\" height=\"548\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1760\/28635167898_0d74ba811b_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"347\" height=\"475\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1726\/28635168158_ec07d584a7_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"358\" height=\"494\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1758\/41785662684_7385b93acd_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"353\" height=\"474\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1737\/40700151480_760896dc3e_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"361\" height=\"500\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1757\/40700151700_03e3424af4_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"349\" height=\"478\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1759\/28635168898_aa24cd3826_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"363\" height=\"483\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1738\/28635169098_7a9f4dc226_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"351\" height=\"520\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1729\/28635169268_e2ed1d1e46_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"361\" height=\"447\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1743\/28635169468_1362a8c8e6_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"352\" height=\"447\"><\/p>\n<p>Question 37.<br>For which value(s) of \u03bb, do the pair of linear equations \u03bbx + y = \u03bb<sup>2<\/sup>&nbsp;and x + \u03bby = 1 have<br>(i) no solution?<br>(ii) infinitely many solutions?<br>(iii) unique solutions? [NCERT Exemplar]<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1740\/42508186021_2a1246818b_o.png\" alt=\"RD Sharma Class 10 Pdf Ebook Chapter 3 Pair Of Linear Equations In Two Variables\" width=\"296\" height=\"327\"><\/p>\n<p>We have provided complete details of RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5. 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-3-exercise-35\"><\/span>FAQs on RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<\/main><\/div>\n<footer><\/footer><\/div>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1631107875679\" 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-3-exercise-35-free-pdf\"><\/span>Where can I download RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5 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 3 Exercise 3.5 free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631108086194\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-it-required-to-practice-all-of-the-questions-in-rd-sharma-class-10-solutions-chapter-3-exercise-35\"><\/span>Is it required to practice all of the questions in RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5?<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 3 Exercise 3.5 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 id=\"faq-question-1631108633932\" 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-3-exercise-35\"><\/span>What are the benefits of using RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5?<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 3 Exercise 3.5 is written in simple language to assist students in their board examination, &amp; competitive examination preparation.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5:&nbsp;This exercise investigates all of these solvability conditions. Kopykitab&#8217;s experts prepared RD Sharma Class 10 Solutions can assist students in gaining a good conceptual understanding of the subject. Students can also refer to the RD Sharma Solutions for Class 10 Maths Chapter 3 Pair Of Linear Equations &#8230; <a title=\"RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5 (Updated for 2023-24)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-3-exercise-3-5\/\" aria-label=\"More on RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5 (Updated for 2023-24)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":125556,"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\/125509"}],"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=125509"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125509\/revisions"}],"predecessor-version":[{"id":471021,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125509\/revisions\/471021"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/125556"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=125509"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=125509"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=125509"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}