{"id":125342,"date":"2021-09-14T21:08:39","date_gmt":"2021-09-14T15:38:39","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=125342"},"modified":"2026-05-02T06:14:51","modified_gmt":"2026-05-02T00:44:51","slug":"rd-sharma-class-9-solutions-chapter-15-mcqs","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-15-mcqs\/","title":{"rendered":"RD Sharma Class 9 Solutions: Complete Guide [2026]"},"content":{"rendered":"<p><script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"Article\",\n  \"headline\": \"RD Sharma Class 9 Solutions: Complete Guide [2026]\",\n  \"description\": \"Comprehensive RD Sharma Class 9 Solutions for the 2026 board examinations. Access detailed, step-by-step solutions for all chapters and multiple-choice questions.\",\n  \"author\": {\n    \"@type\": \"Organization\",\n    \"name\": \"KopyKitab\"\n  },\n  \"publisher\": {\n    \"@type\": \"Organization\",\n    \"name\": \"KopyKitab\",\n    \"url\": \"https:\/\/www.kopykitab.com\"\n  },\n  \"datePublished\": \"2026-05-02\",\n  \"dateModified\": \"2026-05-02\"\n}\n<\/script><\/p>\n<div class=\"freshness-block\" style=\"background:#e8f5e9;padding:15px;border-left:4px solid #4caf50;margin:20px 0;border-radius:4px;\">\n<strong>Last Updated:<\/strong> May 02, 2026 | This article has been updated with the latest information for 2026.\n<\/div>\n<p><img alt=\"RD Sharma Class 9 Solutions Chapter 15 MCQS \" class=\"alignnone size-full wp-image-127698\" height=\"675\" loading=\"eager\" sizes=\"(max-width: 1200px) 100vw, 1200px\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-15-MCQS.jpg\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-15-MCQS.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-15-MCQS-768x432.jpg 768w\" width=\"1200\"\/><\/p>\n<p><strong>Read more:<\/strong> <a href=\"https:\/\/www.kopykitab.com\/blog\/category\/rd-sharma-solutions\/\">RD Sharma \u2014 Complete Guide<\/a><\/p>\n<p><strong>RD Sharma Class 9 Solutions Chapter 15 MCQs<\/strong> are essential resources for students preparing for their 2026 board examinations. These comprehensive solutions, crafted by our subject experts, specifically target Chapter 15 &#8211; Areas of Parallelograms and Triangles. Students can access detailed step-by-step solutions for all multiple-choice questions, ensuring thorough preparation for the academic year 2026. You can find complete <a href=\"\/blog\/rd-sharma-solutions-class-9-maths-chapter-15-areas-of-parallelograms-and-triangles\/\">RD Sharma Class 9 Solutions Chapter 15<\/a> MCQs directly below.<\/p>\n<ul>\n<li><a href=\"\/blog\/rd-sharma-class-9-solutions-for-maths\/\"><span>RD Sharma Class 9 Maths Solutions<\/span><\/a><\/li>\n<\/ul>\n<div class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\" id=\"ez-toc-container\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<p><span class=\"ez-toc-title-toggle\"><a aria-label=\"ez-toc-toggle-icon-1\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" href=\"#\"><label aria-label=\"Table of Content\" for=\"item-69f5481d1394d\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg class=\"list-377408\" fill=\"none\" height=\"20px\" style=\"fill: #000000;color:#000000\" viewbox=\"0 0 24 24\" width=\"20px\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg baseprofile=\"tiny\" class=\"arrow-unsorted-368013\" height=\"10px\" style=\"fill: #000000;color:#000000\" version=\"1.2\" viewbox=\"0 0 24 24\" width=\"10px\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><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\"><\/path><\/svg><\/span><\/label><input id=\"item-69f5481d1394d\" type=\"checkbox\"\/><\/a><\/span><\/div>\n<nav>\n<ul class=\"ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default\">\n<li class=\"ez-toc-page-1 ez-toc-heading-level-2\"><a class=\"ez-toc-link ez-toc-heading-1\" href=\"#chapter-15-mcqs-complete-solutions\" title=\"Chapter 15 MCQs - Complete Solutions\">Chapter 15 MCQs &#8211; Complete Solutions<\/a>\n<ul class=\"ez-toc-list-level-3\">\n<li class=\"ez-toc-heading-level-3\"><a class=\"ez-toc-link ez-toc-heading-2\" href=\"#frequently-asked-questions\" title=\"Frequently Asked Questions\">Frequently Asked Questions<\/a><\/li>\n<li class=\"ez-toc-page-1 ez-toc-heading-level-3\"><a class=\"ez-toc-link ez-toc-heading-3\" href=\"#can-i-access-rd-sharma-class-9-solutions-chapter-15-mcqs-on-my-smartphone\" title=\"Can I access RD Sharma Class 9 Solutions Chapter 15 MCQs on my smartphone?\">Can I access RD Sharma Class 9 Solutions Chapter 15 MCQs on my smartphone?<\/a><\/li>\n<li class=\"ez-toc-page-1 ez-toc-heading-level-3\"><a class=\"ez-toc-link ez-toc-heading-4\" href=\"#what-are-the-benefits-of-studying-rd-sharma-class-9-solutions-chapter-15-mcqs\" title=\"What are the benefits of studying RD Sharma Class 9 Solutions Chapter 15 MCQs?\">What are the benefits of studying RD Sharma Class 9 Solutions Chapter 15 MCQs?<\/a><\/li>\n<li class=\"ez-toc-page-1 ez-toc-heading-level-3\"><a class=\"ez-toc-link ez-toc-heading-5\" href=\"#is-rd-sharma-enough-for-class-12-maths\" title=\"Is RD Sharma enough for Class 12 Maths?\">Is RD Sharma enough for Class 12 Maths?<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"related-articles\" style=\"background:#fff3e0;padding:20px;border-left:4px solid #ff9800;margin:24px 0;border-radius:4px;\">\n<h3 style=\"margin:0 0 12px;color:#e65100;\"><span class=\"ez-toc-section\" id=\"you-may-also-like\"><\/span>You May Also Like<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul style=\"list-style:none;margin:0;padding:0;\">\n<li style=\"margin-bottom:8px;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/category\/rd-sharma-solutions\/\" style=\"color:#1565c0;text-decoration:none;font-weight:500;\">\u2192 RD Sharma Solutions<\/a><\/li>\n<li style=\"margin-bottom:8px;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/category\/rd-sharma-solutions\/\" style=\"color:#1565c0;text-decoration:none;font-weight:500;\">\u2192 Maths Solutions<\/a><\/li>\n<li style=\"margin-bottom:8px;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/category\/cbse\/\" style=\"color:#1565c0;text-decoration:none;font-weight:500;\">\u2192 CBSE Preparation<\/a><\/li>\n<li style=\"margin-bottom:8px;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/category\/exam-preparation\/\" style=\"color:#1565c0;text-decoration:none;font-weight:500;\">\u2192 Exam Preparation Guide<\/a><\/li>\n<\/ul>\n<\/div>\n<div class=\"cta-box\" style=\"background:linear-gradient(135deg,#e8f5e9,#c8e6c9);padding:24px;border-radius:8px;margin:24px 0;text-align:center;border:1px solid #a5d6a7;\">\n<h3 style=\"margin:0 0 8px;color:#2e7d32;\"><span class=\"ez-toc-section\" id=\"explore-study-materials\"><\/span>Explore Study Materials<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"margin:0 0 16px;color:#333;\">Get comprehensive study materials, practice tests, and expert guides for your exam preparation.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/competitive-exam-books\" style=\"display:inline-block;background:#2e7d32;color:#fff;padding:12px 32px;border-radius:6px;text-decoration:none;font-weight:600;\">Browse Study Materials \u2192<\/a>\n<\/div>\n<h2 id=\"chapter-15-mcqs-complete-solutions\"><span class=\"ez-toc-section\" id=\"chapter-15-mcqs-%e2%80%93-complete-solutions\"><\/span>Chapter 15 MCQs &#8211; Complete Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Class 9 ke students ke liye <a href=\"https:\/\/www.kopykitab.com\/blog\/category\/rd-sharma-solutions\/\">RD<\/a> Sharma Chapter 15 ke MCQs bohot important hain. Ye chapter &#8220;Areas of Parallelograms and Triangles&#8221; par based hai aur 2026 board exams mein frequently poocha jaata hai. Hamare experts ne har question ko step-by-step solve kiya hai taaki aapko complete understanding mil sake.<\/p>\n<p><strong>Question 1.<\/strong><br \/>\nAgar ek circle ke chord ki length 16 cm hai aur wo centre se 15 cm ki distance par hai, toh circle ka radius kya hoga?<br \/>\n(a) 15 cm<br \/>\n(b) 16 cm<br \/>\n(c) 17 cm<br \/>\n(d) 34 cm<br \/>\n<strong>Solution:<\/strong><br \/>\nCircle ke chord AB ki length = 16 cm<br \/>\nCentre se distance OL = 15 cm<br \/>\n<img \"=\"\" alt=\"Areas of Parallelograms and Triangles With Solutions PDF &lt;a href=\" blog=\"\" category=\"\" height=\"450\" https:=\"\" loading=\"lazy\" rd-sharma-solutions=\"\" src=\"https:\/\/farm2.staticflickr.com\/1930\/44731149125_be6bdbcfca_o.png\" width=\"800\" www.kopykitab.com=\"\"\/>RD Sharma Class 9 Solutions&#8221; width=&#8221;181&#8243; height=&#8221;162&#8243; \/&gt;<br \/>\nOA ko radius maante hain, toh right triangle OAL mein,<br \/>\nOA\u00b2 = OL\u00b2 + AL\u00b2<br \/>\n16<br \/>\n= (15)\u00b2 + (16\/2)\u00b2 = 15\u00b2 + 8\u00b2<br \/>\n= 225 + 64 = 289 = (17)\u00b2<br \/>\n\u2234 OA = 17 cm<br \/>\nHence circle ka radius = 17 cm (c)<\/p>\n<p><strong>Question 2.<\/strong><br \/>\nEk circle ka radius 6 cm hai. Centre se chord tak perpendicular distance kya hogi agar chord ki length 8 cm hai?<br \/>\n<img \"=\"\" alt=\"&lt;a href=\" blog=\"\" category=\"\" height=\"450\" https:=\"\" loading=\"lazy\" rd-sharma-solutions=\"\" src=\"https:\/\/farm2.staticflickr.com\/1930\/45645337881_53f2daaa61_o.png\" width=\"800\" www.kopykitab.com=\"\"\/>RD Sharma Class 9 Maths Book Questions Chapter 15 Areas of Parallelograms and Triangles&#8221; width=&#8221;284&#8243; height=&#8221;71&#8243; \/&gt;<br \/>\n<strong>Solution:<\/strong><br \/>\nCircle ka radius (r) = 6 cm<br \/>\nPerpendicular distance from centre = ?<br \/>\nChord ki length = 8 cm<br \/>\n<img alt=\"RD Sharma Mathematics Class 9 Solutions Chapter 15 Areas of Parallelograms and Triangles\" height=\"162\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1964\/30704328887_efee965913_o.png\" width=\"173\"\/><br \/>\nAB chord hai, OL distance hai<br \/>\nRight triangle OAL mein<br \/>\nOA\u00b2 = AL\u00b2 + OL\u00b2<br \/>\n<img alt=\"RD Sharma Math Solution Class 9 Chapter 15 Areas of Parallelograms and Triangles\" height=\"122\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1979\/45645337671_a39943a457_o.png\" width=\"349\"\/><\/p>\n<p><strong>Question 3.<\/strong><br \/>\nAgar O ek circle ka centre hai radius r ke saath aur AB ek chord hai jo centre se r\/2 distance par hai, toh \u2220BAO ka value kya hoga?<br \/>\n(a) 60\u00b0<br \/>\n(b) 45\u00b0<br \/>\n(c) 30\u00b0<br \/>\n(d) 15\u00b0<br \/>\n<strong>Solution:<\/strong><br \/>\nr circle ka radius hai centre O ke saath<br \/>\nAB chord hai, centre se r\/2 distance par<br \/>\n<img alt=\"RD Sharma Class 9 Chapter 15 Areas of Parallelograms and Triangles\" height=\"278\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1950\/30704328817_c70c969d7c_o.png\" width=\"236\"\/><br \/>\n<img alt=\"RD Sharma Class 9 Solutions Chapter 15 Areas of Parallelograms and Triangles\" height=\"127\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1911\/44731148765_f705629cf8_o.png\" width=\"350\"\/><\/p>\n<p><strong>Question 4.<\/strong><br \/>\nABCD ek cyclic quadrilateral hai jisme \u2220ADB = 30\u00b0 aur \u2220DCA = 80\u00b0, toh \u2220DAB ka value kya hai?<br \/>\n(a) 70\u00b0<br \/>\n(b) 100\u00b0<br \/>\n(c) 125\u00b0<br \/>\n(d) 150\u00b0<br \/>\n<strong>Solution:<\/strong><br \/>\nABCD cyclic quadrilateral hai jisme \u2220DCA = 80\u00b0 aur \u2220ADB = 30\u00b0<br \/>\n<img alt=\"RD Sharma Solutions Class 9 Chapter 15 Areas of Parallelograms and Triangles\" height=\"199\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1960\/45645337371_7b04fb0f93_o.png\" width=\"217\"\/><br \/>\n\u2235\u2220ADB = \u2220ACB (Same segment ke angles)<br \/>\n\u2234 \u2220ACB = 30\u00b0<br \/>\n\u2234 \u2220BCD = 80\u00b0 + 30\u00b0 = 110\u00b0<br \/>\n\u2235 ABCD cyclic quadrilateral hai<br \/>\n\u2234\u2220BAD + \u2220BCD = 180\u00b0<br \/>\n\u21d2 \u2220BAD + 110\u00b0= 180\u00b0<br \/>\n\u21d2 \u2220BAD = 180\u00b0- 110\u00b0 = 70\u00b0<br \/>\nya \u2220DAB = 70\u00b0 (a)<\/p>\n<p><strong>Question 5.<\/strong><br \/>\n14 cm length ka chord centre se 6 cm distance par hai. Same circle mein dusra chord centre se 2 cm distance par hai. Dusre chord ki length kya hogi?<br \/>\n(a) 12 cm<br \/>\n(b) 14 cm<br \/>\n(c) 16 cm<br \/>\n(d) 18 cm<br \/>\n<strong>Solution:<\/strong><br \/>\nCircle mein AB chord = 14 cm<br \/>\nCentre se distance OL = 6 cm<br \/>\nr radius maante hain, toh OA\u00b2 = AL\u00b2 + OL\u00b2<br \/>\n\u21d2 r\u00b2 = (7)\u00b2 + (6)\u00b2 = 49 + 36 = 85<br \/>\n<img alt=\"RD Sharma Class 9 PDF Chapter 15 Areas of Parallelograms and Triangles\" height=\"207\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1962\/44731148635_9c25055e7b_o.png\" width=\"218\"\/><br \/>\nSame circle mein dusre chord CD ki length = ?<br \/>\nCentre se distance = 2 cm<br \/>\n\u2234 r\u00b2 = OM\u00b2 + MD\u00b2<br \/>\n\u21d2 85 = (2)\u00b2 + DM\u00b2<br \/>\n\u21d2 85 = 4 + DM\u00b2<br \/>\n\u21d2 DM\u00b2 = 85-4 = 81 = (9)\u00b2<br \/>\n\u2234 DM = 9<br \/>\n\u2234 CD = 2 x DM = 2 x 9 = 18 cm<br \/>\n\u2234Dusre chord ki length = 18 cm (d)<\/p>\n<p><strong>Question 6.<\/strong><br \/>\nEk circle ka chord 10 cm hai. Is circle ka radius kya hona chahiye?<br \/>\n(a) 5 cm<br \/>\n(b) 5 cm se zyada<br \/>\n(c) 5 cm ke barabar ya zyada<br \/>\n(d) 5 cm se kam<br \/>\n<strong>Solution:<\/strong><br \/>\nCircle ke chord ki length = 10 cm<br \/>\nCircle ke radius ki length chord ke half se zyada hoti hai<br \/>\n10\/2 = 5 cm se zyada (b)<\/p>\n<p><strong>Question 7.<\/strong><br \/>\nABC triangle mein B right angle hai, AC = 5 cm aur AB = 4 cm. O centre se ek circle draw kiya gaya hai OC radius ke saath. C aur B se passing chord ki length kya hogi?<br \/>\n(a) 3 cm<br \/>\n(b) 4 cm<br \/>\n(c) 5 cm<br \/>\n(d) 6 cm<br \/>\n<strong>Solution:<\/strong><br \/>\nRight triangle ABC mein, \u2220B = 90\u00b0<br \/>\nAC = 5 cm, AB = 4 cm<br \/>\n<img alt=\"Areas of Parallelograms and Triangles Class 9 RD Sharma Solutions\" height=\"188\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1948\/44731148615_67b97fd8af_o.png\" width=\"200\"\/><br \/>\n\u2234 BC\u00b2 = AC\u00b2 -AB\u00b2<br \/>\n= 5\u00b2 \u2013 4\u00b2 = 25 \u2013 16<br \/>\n= 9 = (3)\u00b2<br \/>\n\u2234 BC = 3 cm<br \/>\n\u2234 Chord BC ki length = 3 cm (a)<\/p>\n<p><strong>Question 8.<\/strong><br \/>\nAgar AB, BC aur CD equal chords hain ek circle ke jiska centre O hai, aur AD diameter hai toh \u2220AOB kya hoga?<br \/>\n(a) 60\u00b0<br \/>\n(b) 90\u00b0<br \/>\n(c) 120\u00b0<br \/>\n(d) none of these<br \/>\n<strong>Solution:<\/strong><br \/>\nCircle mein chords AB = BC = CD<br \/>\n<img alt=\"RD Sharma Class 9 Solution Chapter 15 Areas of Parallelograms and Triangles\" height=\"198\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1929\/44920319434_87e60f18ba_o.png\" width=\"198\"\/><br \/>\nO circle ka centre hai<br \/>\n\u2234 \u2220AOB = determine nahi kar sakte (d)<\/p>\n<p><strong>Question 9.<\/strong><br \/>\nC arc AB ka mid-point hai ek circle ka jisme m(AB) = 183\u00b0. Agar region jo arc ACB aur line segment AB se bounded hai use S denote karte hain, toh centre O circle ka kaha lie karta hai?<br \/>\n(a) S ke interior mein<br \/>\n(b) S ke exterior mein<br \/>\n(c) segment AB par<br \/>\n(d) AB par aur AB ko bisect karta hai<br \/>\n<strong>Solution:<\/strong><br \/>\nArc AB = 183\u00b0<br \/>\n\u2234 AB circle ka diameter hai centre O ke saath aur C arc AB ka mid point hai<br \/>\n<img alt=\"Class 9 RD Sharma Solutions Chapter 15 Areas of Parallelograms and Triangles\" height=\"210\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1958\/44731148335_e3f024b9b2_o.png\" width=\"226\"\/><br \/>\nLine segment AB = S<br \/>\n\u2234 Centre AB par lie karega (c)<\/p>\n<p><strong>Question 10.<\/strong><br \/>\nEk circle mein, major arc minor arc se 3 times hai. Corresponding central angles aur degree measures kya honge?<br \/>\n(a) 90\u00b0 aur 270\u00b0<br \/>\n(b) 90\u00b0 aur 90\u00b0<br \/>\n(c) 270\u00b0 aur 90\u00b0<br \/>\n(d) 60\u00b0 aur 210\u00b0<br \/>\n<strong>Solution:<\/strong><br \/>\nCircle mein, major arc = 3 times minor arc yani arc ACB = 3 arc ADB<br \/>\n\u2234 Reflex \u2220AOB = 3\u2220AOB<br \/>\nLekin angle at O = 360\u00b0<br \/>\n<img alt=\"Class 9 RD Sharma Solutions Chapter 15 Areas of Parallelograms and Triangles\" height=\"213\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1910\/44731148235_4ee99f12d7_o.png\" width=\"222\"\/><br \/>\nAgar \u2220AOB = x<br \/>\nToh reflex \u2220ADB = x<br \/>\nx + 3x = 360\u00b0<br \/>\n\u21d2 4x = 360\u00b0<br \/>\n\u21d2 x = 360\u00b0\/4 = 90\u00b0<br \/>\n\u2234 3x = 90\u00b0 x 3 = 270\u00b0<br \/>\nAngles hain 270\u00b0 aur 90\u00b0 (c)<\/p>\n<p><strong>Question 11.<\/strong><br \/>\nAgar A aur B circle ke do points hain jisme m(AB) = 260\u00b0. Arc BA ka angle jo circle ke kisi point par subtend hota hai, possible value kya ho sakti hai?<br \/>\n(a) 100\u00b0<br \/>\n(b) 75\u00b0<br \/>\n(c) 50\u00b0<br \/>\n(d) 25\u00b0<br \/>\n<strong>Solution:<\/strong><br \/>\nA aur B circle ke do points hain jisme reflex \u2220AOB = 260\u00b0<br \/>\n<img alt=\"Class 9 Maths Chapter 15 Areas of Parallelograms and Triangles RD Sharma Solutions\" height=\"204\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1908\/44731148115_d75e56e3eb_o.png\" width=\"215\"\/><br \/>\n\u2234 \u2220AOB = 360\u00b0 \u2013 260\u00b0 = 100\u00b0<br \/>\nC circle ka ek point hai<br \/>\n\u2234 AC aur BC join karne par,<br \/>\n\u2220ACB = 1\/2 \u2220AOB = 1\/2 x 100\u00b0 = 50\u00b0 (c)<\/p>\n<p><strong>Question 12.<\/strong><br \/>\nEquilateral triangle ABC ek circle mein inscribed hai centre O ke saath. \u2220BOC ka measure kya hai?<br \/>\n(a) 30\u00b0<br \/>\n(b) 60\u00b0<br \/>\n(c) 90\u00b0<br \/>\n(d) 120\u00b0<br \/>\n<strong>Solution:<\/strong><br \/>\n\u2206ABC equilateral triangle hai jo circle mein inscribed hai centre O ke saath<br \/>\n<img alt=\"RD Sharma Book Class 9 PDF Free Download Chapter 15 Areas of Parallelograms and Triangles\" height=\"213\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1921\/44731148025_3646cccb2a_o.png\" width=\"222\"\/><br \/>\n\u2234 \u2220BOC ka measure = 2\u2220BAC<br \/>\n= 2 x 60\u00b0 = 120\u00b0 (d)<\/p>\n<p><strong>Question 13.<\/strong><br \/>\nAgar circle ke do diameters ek dusre ko right angles par intersect karte hain, toh unke end points ko join karne se bana quadrilateral kya hoga?<br \/>\n(a) rhombus<br \/>\n(b) rectangle<br \/>\n(c) parallelogram<br \/>\n(d) square<br \/>\n<strong>Solution:<\/strong><br \/>\nCircle ke do diameter AB aur CD ek dusre ko right angles par intersect karte hain<br \/>\n<img alt=\"RD Sharma Class 9 Book Chapter 15 Areas of Parallelograms and Triangles\" height=\"228\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1926\/44731147945_f878cd7255_o.png\" width=\"254\"\/><br \/>\nAD, DB, BC aur CA join karke quadrilateral ABCD banta hai.<br \/>\n\u2235 Diagonals equal hain aur ek dusre ko right angles par bisect karte hain<br \/>\n\u2234 ACBD ek square hai (d)<\/p>\n<p><strong>Question 14.<\/strong><br \/>\nABC ek circle ka arc hai aur \u2220ABC = 135\u00b0, toh arc AB ka ratio circumference ke saath kya hai?<br \/>\n(a) 1 : 4<br \/>\n(b) 3 : 4<br \/>\n(c) 3 : 8<br \/>\n(d) 1 : 2<br \/>\n<strong>Solution:<\/strong><br \/>\nArc ABC ek circle ka aur \u2220ABC = 135\u00b0<br \/>\nOA aur OC join karte hain<br \/>\n<img alt=\"Areas of Parallelograms and Triangles With Solutions PDF RD Sharma Class 9 Solutions\" height=\"206\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1910\/44920318664_10fdf94989_o.png\" width=\"207\"\/><br \/>\n\u2234 Arc ABC ka angle centre par = 2 x \u2220ABC = 2 x 135\u00b0 = 270\u00b0<br \/>\nCircle ke centre par angle = 360\u00b0<br \/>\n\u2234 Circumference ke saath ratio = 270\u00b0 : 360\u00b0 = 3:4 (b)<\/p>\n<p><strong>Question 15.<\/strong><br \/>\nCircle ka chord uske radius ke equal hai. Ye chord minor arc par kya angle subtend karta hai?<br \/>\n(a) 60\u00b0<br \/>\n(b) 75\u00b0<br \/>\n(c) 120\u00b0<br \/>\n(d) 150\u00b0<br \/>\n<strong>Solution:<\/strong><br \/>\nCircle ka chord = circle ka radius<br \/>\nFigure mein OA = OB = AB<br \/>\n<img alt=\"RD Sharma Class 9 Maths Book Questions Chapter 15 Areas of Parallelograms and Triangles\" height=\"189\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1964\/44731147735_bfaca94baa_o.png\" width=\"214\"\/><br \/>\n\u2234 \u2220AOB = 60\u00b0<br \/>\n(Equilateral triangle ka har angle = 60\u00b0) (a)<\/p>\n<p><strong>Question 16.<\/strong><br \/>\nPQRS ek cyclic quadrilateral hai jisme PR circle ka diameter hai. Agar \u2220QPR = 67\u00b0 aur \u2220SPR = 72\u00b0, toh \u2220QRS kya hai?<br \/>\n(a) 41\u00b0<br \/>\n(b) 23\u00b0<br \/>\n(c) 67\u00b0<br \/>\n(d) 18\u00b0<br \/>\n<strong>Solution:<\/strong><br \/>\nPQRS cyclic quadrilateral hai centre O ke saath aur \u2220QPR = 67\u00b0<br \/>\n\u2220SPR = 72\u00b0<br \/>\n<img alt=\"RD Sharma Mathematics Class 9 Solutions Chapter 15 Areas of Parallelograms and Triangles\" height=\"200\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1917\/44920318454_e3202dce06_o.png\" width=\"211\"\/><br \/>\n\u2234 \u2220QPS = 67\u00b0 + 72\u00b0 = 139\u00b0<br \/>\n\u2235 \u2220QPS + \u2220QRS = 180\u00b0 (Cyclic quadrilateral ke opposite angles ka sum)<br \/>\n\u21d2 139\u00b0 + \u2220QRS = 180\u00b0<br \/>\n\u21d2 \u2220QRS = 180\u00b0 \u2013 139\u00b0 = 41\u00b0 (a)<\/p>\n<p><strong>Question 17.<\/strong><br \/>\nAgar A, B, C circle ke teen points hain centre O ke saath jisme \u2220AOB = 90\u00b0 aur \u2220BOC = 120\u00b0, toh \u2220ABC kya hai?<br \/>\n(a) 60\u00b0<br \/>\n(b) 75\u00b0<br \/>\n(c) 90\u00b0<br \/>\n(d) 135\u00b0<br \/>\n<strong>Solution:<\/strong><br \/>\nA, B aur C circle ke teen points hain centre O ke saath<br \/>\n\u2220AOB = 90\u00b0 aur \u2220BOC = 120\u00b0<br \/>\n<img alt=\"RD Sharma Math Solution Class 9 Chapter 15 Areas of Parallelograms and Triangles\" height=\"212\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1920\/44731147665_2d11e20e1c_o.png\" width=\"214\"\/><br \/>\n\u2234 \u2220AOC = 360\u00b0 \u2013 (120\u00b0 + 90\u00b0)<br \/>\n= 360\u00b0 -210\u00b0= 150\u00b0<br \/>\nLekin \u2220AOC centre par arc AC se bana hai aur \u2220ABC circle ke remaining part par<br \/>\n\u2234 \u2220ABC = 1\/2 \u2220AOC<br \/>\n= 1\/2 x 150\u00b0 = 75\u00b0 (b)<\/p>\n<p><strong>Question 18.<\/strong><br \/>\nCircle ka greatest chord kya kehlaata hai?<br \/>\n(a) radius<br \/>\n(b) secant<br \/>\n(c) diameter<br \/>\n(d) none of these<br \/>\n<strong>Solution:<\/strong><br \/>\nCircle ka greatest chord uska diameter kehlaata hai. (c)<\/p>\n<p><strong>Question 19.<\/strong><br \/>\nCircle ke minor segment mein bana angle kaisa hota hai?<br \/>\n(a) acute<br \/>\n(b) obtuse<br \/>\n(c) right angle<br \/>\n(d) none of these<br \/>\n<strong>Solution:<\/strong><br \/>\nCircle ke minor segment mein bana angle obtuse angle hota hai. (b)<\/p>\n<p><strong>Question 20.<\/strong><br \/>\nTeen non-collinear points se kitne circles draw ho sakte hain?<br \/>\n(a) 1<br \/>\n(b) 0<br \/>\n(c) 2<br \/>\n(d) 3<br \/>\n<strong>Solution:<\/strong><br \/>\nTeen non-collinear points se sirf ek hi circle pass ho sakta hai. (a)<\/p>\n<p><strong>Question 21.<\/strong><br \/>\nFigure mein, agar circle ke chords AB aur CD ek dusre ko right angles par intersect karte hain, toh x + y kya hai?<br \/>\n(a) 45\u00b0<br \/>\n(b) 60\u00b0<br \/>\n(c) 75\u00b0<br \/>\n(d) 90\u00b0<br \/>\n<img alt=\"RD Sharma Class 9 Questions Chapter 15 Areas of Parallelograms and Triangles\" height=\"204\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1934\/44920318264_e06d621960_o.png\" width=\"231\"\/><br \/>\n<strong>Solution:<\/strong><br \/>\nCircle mein, AB aur CD do chords hain jo P par right angle par intersect karte hain yani \u2220CPB = 90\u00b0<br \/>\n<img alt=\"Maths RD Sharma Class 9 Chapter 15 Areas of Parallelograms and Triangles\" height=\"208\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1901\/44731147545_d6d55e4bbb_o.png\" width=\"220\"\/><br \/>\n\u2220CAB aur \u2220CDB same segment mein hain<br \/>\n\u2234 \u2220CDB = \u2220CAB = x<br \/>\nAb triangle PDB mein,<br \/>\nExternal \u2220CPB = \u2220D + \u2220DBP<br \/>\n\u21d2 90\u00b0 = x + y (\u2235 CD \u22a5 AB)<br \/>\nHence x + y = 90\u00b0 (d)<\/p>\n<p><strong>Question 22.<\/strong><br \/>\nFigure mein, agar \u2220ABC = 45\u00b0, toh \u2220AOC kya hai?<br \/>\n(a) 45\u00b0<br \/>\n(b) 60\u00b0<br \/>\n(c) 75\u00b0<br \/>\n(d) 90\u00b0<br \/>\n<img alt=\"RD Sharma Class 9 Chapter 15 Areas of Parallelograms and Triangles\" height=\"157\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1930\/44920317984_3af8533993_o.png\" width=\"184\"\/><br \/>\n<strong>Solution:<\/strong><br \/>\n\u2235 arc AC subtends<br \/>\n\u2220AOC centre par aur \u2220ABC<br \/>\ncircle ke remaining part par<br \/>\n<img alt=\"RD Sharma Class 9 Solutions Chapter 15 Areas of Parallelograms and Triangles\" height=\"163\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1949\/44731147405_0c352c52a4_o.png\" width=\"196\"\/><br \/>\n\u2234 \u2220AOC = 2\u2220ABC<br \/>\n= 2 x 45\u00b0 = 90\u00b0<br \/>\nHence \u2220AOC = 90\u00b0 (d)<\/p>\n<p><strong>Question 23.<\/strong><br \/>\nFigure mein, chords AD aur BC ek dusre ko right angles par point P par intersect karte hain. Agar \u2220DAB = 35\u00b0, toh \u2220ADC kya hai?<br \/>\n(a) 35\u00b0<br \/>\n(b) 45\u00b0<br \/>\n(c) 55\u00b0<br \/>\n(d) 65\u00b0<br \/>\n<img alt=\"RD Sharma Solutions Class 9 Chapter 15 Areas of Parallelograms and Triangles\" height=\"171\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1932\/44920317854_428a2229d1_o.png\" width=\"186\"\/><br \/>\n<strong>Solution:<\/strong><br \/>\nDo chords AD aur BC right angles par P par intersect karte hain, \u2220DAB = 35\u00b0<br \/>\nAB aur CD join kiye gaye hain<br \/>\nTriangle ABP mein,<br \/>\nExternal \u2220APC = \u2220B + \u2220A<br \/>\n<img alt=\"RD Sharma Class 9 PDF Chapter 15 Areas of Parallelograms and Triangles\" height=\"163\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1960\/44731147225_36664d5533_o.png\" width=\"171\"\/><br \/>\n\u21d2 90\u00b0 = \u2220B + 35\u00b0<br \/>\n\u2220B = 90\u00b0 \u2013 35\u00b0 = 55\u00b0<br \/>\n\u2235 \u2220ABC aur \u2220ADC same segment mein hain<br \/>\n\u2234 \u2220ADC = \u2220ABC = 55\u00b0 (c)<\/p>\n<p><strong>Question 24.<\/strong><br \/>\nFigure mein, O circle ka centre hai aur \u2220BDC = 42\u00b0. \u2220ACB ka measure kya hai?<br \/>\n(a) 42\u00b0<br \/>\n(b) 48\u00b0<br \/>\n(c) 58\u00b0<br \/>\n(d) 52\u00b0<br \/>\n<img alt=\"Areas of Parallelograms and Triangles Class 9 RD Sharma Solutions\" height=\"216\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1931\/44731147105_8ac72fc40f_o.png\" width=\"203\"\/><br \/>\n<strong>Solution:<\/strong><br \/>\nFigure mein, O circle ka centre hai<br \/>\n\u2220BDC = 42\u00b0<br \/>\n\u2220ABC = 90\u00b0 (Semicircle mein angle)<br \/>\naur \u2220BAC aur \u2220BDC circle ke same segment mein hain.<br \/>\n\u2234 \u2220BAC = \u2220BDC = 42\u00b0<br \/>\nAb triangle ABC mein,<br \/>\n\u2220A + \u2220ABC + \u2220ACB = 180\u00b0 (Triangle ke angles ka sum)<br \/>\n<img alt=\"RD Sharma Class 9 Solution Chapter 15 Areas of Parallelograms and Triangles\" height=\"216\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1962\/44920317574_5f9956dba3_o.png\" width=\"217\"\/><br \/>\n\u21d2 42\u00b0 + 90\u00b0 + \u2220ACB = 180\u00b0<br \/>\n\u21d2 132\u00b0 + \u2220ACB = 180\u00b0<br \/>\n\u21d2 \u2220ACB = 180\u00b0 \u2013 132\u00b0 = 48\u00b0 (b)<\/p>\n<p><strong>Question 25.<\/strong><br \/>\nCentre O wale circle mein, AB aur CD do diameters hain jo ek dusre ke perpendicular hain. Chord AC ki length kya hai?<br \/>\n<img alt=\"Class 9 RD Sharma Solutions Chapter 15 Areas of Parallelograms and Triangles\" height=\"94\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1916\/44731146945_0f87563cc1_o.png\" width=\"292\"\/><br \/>\n<strong>Solution:<\/strong><br \/>\nAB aur CD circle ke do diameters hain centre O ke saath<br \/>\n<img alt=\"Class 9 Maths Chapter 15 Areas of Parallelograms and Triangles RD Sharma Solutions\" height=\"391\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1919\/44920317444_d97b1ca7aa_o.png\" width=\"325\"\/><\/p>\n<p><strong>Question 26.<\/strong><br \/>\nRadius r ke do equal circles aise intersect karte hain ki har ek dusre ke centre se pass hota hai. Common chord ki length kya hai?<br \/>\n<img alt=\"RD Sharma Book Class 9 PDF Free Download Chapter 15 Areas of Parallelograms and Triangles\" height=\"92\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1967\/44731146725_9e52e4aa3d_o.png\" width=\"291\"\/><br \/>\n<strong>Solution:<\/strong><br \/>\nDo equal circles ek dusre ke centre se pass hote hain aur A aur B par intersect karte hain<br \/>\nr har circle ka radius hai<br \/>\n<img alt=\"RD Sharma Class 9 Book Chapter 15 Areas of Parallelograms and Triangles\" height=\"534\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1940\/44920317274_3a8c6aa131_o.png\" width=\"345\"\/><\/p>\n<p><strong>Question 27.<\/strong><br \/>\nAgar AB ek circle ka chord hai, P aur Q circle ke do points hain jo A aur B se different hain, toh kya relation hai?<br \/>\n(a) \u2220APB = \u2220AQB<br \/>\n(b) \u2220APB + \u2220AQB = 180\u00b0 ya \u2220APB = \u2220AQB<br \/>\n(c) \u2220APB + \u2220AQB = 90\u00b0<br \/>\n(d) \u2220APB + \u2220AQB = 180\u00b0<br \/>\n<strong>Solution:<\/strong><br \/>\nAB circle ka chord hai,<br \/>\nP aur Q do points hain A aur B ke alawa<br \/>\n<img alt=\"Areas of Parallelograms and Triangles With Solutions PDF RD Sharma Class 9 Solutions\" height=\"198\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1959\/44920317064_988501c844_o.png\" width=\"226\"\/><br \/>\n\u2235 \u2220APB aur \u2220AQB circle ke same segment mein hain<br \/>\n\u2234 \u2220APB = \u2220AQB (a)<\/p>\n<p><strong>Question 28.<\/strong><br \/>\nAB aur CD centre O wale circle ke do parallel chords hain jisme AB = 6 cm aur CD = 12 cm. Chords same side par hain centre ke aur unke beech distance 3 cm hai. Circle ka radius kya hai?<br \/>\n<img alt=\"RD Sharma Class 9 Maths Book Questions Chapter 15 Areas of Parallelograms and Triangles\" height=\"74\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1939\/44731146465_d3b4af560a_o.png\" width=\"302\"\/><br \/>\n<strong>Solution:<\/strong><br \/>\nAB aur CD centre O wale circle ke do parallel chords hain<br \/>\nr circle ka radius hai, AB = 6 cm, CD = 12 cm<br \/>\naur unke beech distance = 3 cm<br \/>\nOC aur OA join karte hain, LM = 3 cm<br \/>\n<img alt=\"RD Sharma Mathematics Class 9 Solutions Chapter 15 Areas of Parallelograms and Triangles\" height=\"199\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1905\/44920316944_3f8b6e5d15_o.png\" width=\"227\"\/><br \/>\nOM = x maante hain, toh OL = x + 3<br \/>\n<img alt=\"RD Sharma Class 9 Chapter 15 Areas of Parallelograms and Triangles\" height=\"550\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1980\/44731146435_cde5a8713b_o.png\" width=\"354\"\/><\/p>\n<p><strong>Question 29.<\/strong><br \/>\n17 cm radius wale circle mein, do parallel chords diameter ke opposite sides par drawn hain. Chords ke beech distance 23 cm hai. Agar ek chord ki length 16 cm hai toh dusre ki length kya hai?<br \/>\n(a) 34 cm<br \/>\n(b) 15 cm<br \/>\n(c) 23 cm<br \/>\n(d) 30 cm<br \/>\n<strong>Solution:<\/strong><br \/>\nCircle ka radius = 17 cm<br \/>\nDo parallel chords ke beech distance = 23 cm<br \/>\nAB || CD aur LM = 23 cm<br \/>\nOA aur OC join karte hain,<br \/>\n\u2234 OA = OC = 17 cm<br \/>\nOL = x maante hain, toh OM = (23 \u2013 x) cm<br \/>\nAB = 16 cm<br \/>\nAb right triangle OAL mein,<br \/>\nOA\u00b2 = OL\u00b2 + AL\u00b2<br \/>\n\u21d2 (17)\u00b2 = x\u00b2 + AL\u00b2<br \/>\n\u21d2 289 = x\u00b2 + AL\u00b2<br \/>\n<img alt=\"RD Sharma Class 9 Solutions Chapter 15 Areas of Parallelograms and Triangles\" height=\"494\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1966\/44920316624_d8daf0c782_o.png\" width=\"353\"\/><\/p>\n<p><strong>Question 30.<\/strong><br \/>\nFigure mein, O circle ka centre hai jisme \u2220AOC = 130\u00b0, toh \u2220ABC kya hai?<br \/>\n(a) 130\u00b0<br \/>\n(b) 115\u00b0<br \/>\n(c) 65\u00b0<br \/>\n(d) 165\u00b0<br \/>\n<img alt=\"RD Sharma Solutions Class 9 Chapter 15 Areas of Parallelograms and Triangles\" height=\"191\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1919\/44920316304_eddfca0079_o.png\" width=\"215\"\/><br \/>\n<strong>Solution:<\/strong><br \/>\nO circle ka centre hai aur \u2220AOC = 130\u00b0<br \/>\nReflex \u2220AOC = 360\u00b0 \u2013 130\u00b0 = 230\u00b0<br \/>\n<img alt=\"RD Sharma Class 9 PDF Chapter 15 Areas of Parallelograms and Triangles\" height=\"210\" loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1901\/44731146025_fa114dc527_o.png\" width=\"226\"\/><br \/>\nAb arc ADB centre par \u2220AOC subtend karta hai aur circle ke remaining part par \u2220ABC<br \/>\n\u2234 \u2220ABC = 1\/2 reflex \u2220AOC<br \/>\n= 1\/2 x 230\u00b0= 115\u00b0 (b)<\/p>\n<p>Ye sab solutions 2026 ke academic session ke liye updated hain. Hamare experts ne har question ko carefully solve kiya hai taaki students ko complete understanding mil sake. RD Sharma Class 9 Solutions Chapter 15 MCQs ko practice karne se students apne <a href=\"https:\/\/cbse.nic.in\/\" rel=\"noopener\" target=\"_blank\">CBSE<\/a> board exams mein better performance de sakte hain.<\/p>\n<p>Chapter 15 &#8220;Areas of Parallelograms and Triangles&#8221; geometry ka important part hai. Ye MCQs students ko different types ke questions practice karne mein help karte hain. 2026 mein board exam pattern ke according, ye questions frequently asked jaate hain. Students ko chahiye ki wo regular practice karen aur har concept ko thoroughly understand karen.<\/p>\n<p>In solutions ko access karne ke liye students ko koi special software ya app ki zarurat nahi hai. Ye solutions mobile-friendly hain aur kisi bhi device par easily access ho sakte hain. Students apne convenience ke according study kar sakte hain aur doubt clear kar sakte hain.<\/p>\n<p>RD Sharma textbook CBSE board ke students ke liye highly recommended hai. Ye book comprehensive coverage provide karti hai aur step-by-step solutions students ki understanding improve karte hain. 2026 session ke liye updated content ensure karta hai ki students latest syllabus ke according prepare hoin.<\/p>\n<h3 id=\"frequently-asked-questions\"><span class=\"ez-toc-section\" id=\"frequently-asked-questions\"><\/span>Frequently Asked Questions<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-block\" id=\"rank-math-faq\">\n<div class=\"rank-math-list\">\n<div class=\"rank-math-list-item\" id=\"faq-question-1631088261123\">\n<h3 class=\"rank-math-question\"><span class=\"ez-toc-section\" id=\"can-i-access-rd-sharma-class-9-solutions-chapter-15-mcqs-on-my-smartphone\"><\/span><span class=\"ez-toc-section\" id=\"can-i-access-RD-sharma-class-9-solutions-chapter-15-mcqs-on-my-smartphone\"><\/span>Can I access RD Sharma Class 9 Solutions Chapter 15 MCQs on my smartphone?<span class=\"ez-toc-section-end\"><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer\">\n<p>Haan bilkul! Aap RD Sharma Class 9 Solutions Chapter 15 MCQs ko kisi bhi device par access kar sakte hain &#8211; smartphone, tablet, ya computer. Ye solutions mobile-friendly format mein available hain jo 2026 ke students ke liye convenient hai.<\/p>\n<\/div>\n<\/div>\n<div class=\"rank-math-list-item\" id=\"faq-question-1631088372702\">\n<h3 class=\"rank-math-question\"><span class=\"ez-toc-section\" id=\"what-are-the-benefits-of-studying-rd-sharma-class-9-solutions-chapter-15-mcqs\"><\/span><span class=\"ez-toc-section\" id=\"what-are-the-benefits-of-studying-RD-sharma-class-9-solutions-chapter-15-mcqs\"><\/span>What are the benefits of studying RD Sharma Class 9 Solutions Chapter 15 MCQs?<span class=\"ez-toc-section-end\"><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer\">\n<p>RD Sharma Class 9 Solutions Chapter 15 MCQs practice karne se students ko kaafi fayde hain. Ye solutions accuracy ke saath banaye gaye hain jo students ke academic performance improve karte hain. Regular practice se concept clarity aati hai aur board exams mein better marks mil sakte hain. Hamare experts ne 2026 syllabus ke according ye solutions prepare kiye hain.<\/p>\n<\/div>\n<\/div>\n<div class=\"rank-math-list-item\" id=\"faq-question-1631088401084\">\n<h3 class=\"rank-math-question\"><span class=\"ez-toc-section\" id=\"is-rd-sharma-enough-for-class-12-maths\"><\/span><span class=\"ez-toc-section\" id=\"is-RD-sharma-enough-for-class-12-maths\"><\/span>Is RD Sharma enough for Class 12 Maths?<span class=\"ez-toc-section-end\"><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer\">\n<p>RD Sharma ek excellent book hai jo thousands of practice questions provide karti hai. Class 9 se hi RD Sharma practice karna students ke liye beneficial hai kyunki ye strong foundation build karta hai. Ye book comprehensive coverage deti hai aur step-by-step solutions students ki mathematical understanding enhance karte hain.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p>Students ko advice dete hain ki wo regular practice karen aur har question ko properly understand karne ki koshish karen. 2026 board exams ke liye ye solutions highly beneficial hain. Agar koi doubt hai toh students comment section mein freely puch sakte hain. Hamare experts ready hain help karne ke liye.<\/p>\n<p>Complete RD Sharma Class 9 solutions ke liye students <a href=\"https:\/\/www.ncert.nic.in\/\" rel=\"noopener\" target=\"_blank\">NCERT official website<\/a> par bhi reference le sakte hain. Ye ensure karta hai ki students ko authentic aur updated information mile. 2026 mein success achieve karne ke liye consistent practice aur proper understanding zaroori hai.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Last Updated: May 02, 2026 | This article has been updated with the latest information for 2026. Read more: RD Sharma \u2014 Complete Guide RD Sharma Class 9 Solutions Chapter 15 MCQs are essential resources for students preparing for their 2026 board examinations. These comprehensive solutions, crafted by our subject experts, specifically target Chapter 15 &#8230; <a title=\"RD Sharma Class 9 Solutions: Complete Guide [2026]\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-15-mcqs\/\" aria-label=\"More on RD Sharma Class 9 Solutions: Complete Guide [2026]\">Read more<\/a><\/p>\n","protected":false},"author":244,"featured_media":127698,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73719],"tags":[61598,76826],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125342"}],"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\/244"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=125342"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125342\/revisions"}],"predecessor-version":[{"id":575266,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125342\/revisions\/575266"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/127698"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=125342"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=125342"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=125342"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}