{"id":2564,"date":"2026-05-10T16:50:37","date_gmt":"2026-05-10T16:50:37","guid":{"rendered":"https:\/\/mcqacademy.com\/hi\/mcq\/partial-fraction-decomposition-18\/"},"modified":"2026-05-10T16:50:37","modified_gmt":"2026-05-10T16:50:37","slug":"partial-fraction-decomposition-18","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/hi\/mcq\/partial-fraction-decomposition-18\/","title":{"rendered":"\u0906\u0902\u0936\u093f\u0915 \u092d\u093f\u0928\u094d\u0928 \u0905\u092a\u0918\u091f\u0928 18"},"content":{"rendered":"<p>(3*x + 30)\/((x + 6)(x + 8)) \u0915\u094b \u0906\u0902\u0936\u093f\u0915 \u092d\u093f\u0928\u094d\u0928\u094b\u0902 \u092e\u0947\u0902 \u0905\u092a\u0918\u091f\u093f\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>3\/(x + 6)<\/li>\n<li>-3\/(x + 6) + 6\/(x + 8)<\/li>\n<li>6\/(x + 6) + -3\/(x + 8)<\/li>\n<li>6\/(x + 8) &#8211; -3\/(x + 6)<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[1020,1062,1061],"subject":[1021],"education_level":[5],"class_list":["post-2564","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-algebraic-fractions","topic-partial-fractions","subject-algebra","education_level-hsc"],"mcq_note":"\u091a\u0942\u0901\u0915\u093f \u0939\u0930 \u0926\u094b \u0905\u0932\u0917-\u0905\u0932\u0917 \u0930\u0948\u0916\u093f\u0915 \u0917\u0941\u0923\u0915\u094b\u0902 \u0915\u093e \u0917\u0941\u0923\u0928\u092b\u0932 \u0939\u0948, \u0907\u0938\u0932\u093f\u090f \u092d\u093f\u0928\u094d\u0928 \u0915\u094b \u0926\u094b \u0938\u0930\u0932 \u092d\u093f\u0928\u094d\u0928\u094b\u0902 \u092e\u0947\u0902 \u092c\u093e\u0901\u091f\u0947\u0902, \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0917\u0941\u0923\u0915 \u0915\u0947 \u090a\u092a\u0930 \u090f\u0915 \u092d\u093f\u0928\u094d\u0928\u0964 \u092e\u093e\u0928 \u0932\u0947\u0902 A\/(x+6) + B\/(x+8)\u0964 \u091c\u094b\u0921\u093c\u0928\u0947 \u092a\u0930 [A(x+8)+B(x+6)]\/[(x+6)(x+8)] \u092e\u093f\u0932\u0924\u093e \u0939\u0948\u0964 \u0917\u0941\u0923\u093e\u0902\u0915\u094b\u0902 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u0915\u0930\u0928\u0947 \u092a\u0930 A=6, B=-3 \u092e\u093f\u0932\u0924\u093e \u0939\u0948\u0964 \u0935\u094d\u092f\u0935\u0939\u093e\u0930 \u092e\u0947\u0902, A \u0914\u0930 B \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0926\u094b\u0928\u094b\u0902 \u092a\u0915\u094d\u0937\u094b\u0902 \u092e\u0947\u0902 x \u0915\u0947 \u0917\u0941\u0923\u093e\u0902\u0915 \u0914\u0930 \u0938\u094d\u0925\u093f\u0930 \u092a\u0926 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u0915\u0930\u0947\u0902\u0964 A \u0914\u0930 B \u092e\u093f\u0932\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926 \u0909\u0928\u094d\u0939\u0947\u0902 \u0909\u0928\u0915\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u0930\u094b\u0902 \u0915\u0947 \u090a\u092a\u0930 \u0930\u0916\u0947\u0902; \u092f\u0939\u0940 \u0906\u0902\u0936\u093f\u0915 \u092d\u093f\u0928\u094d\u0928 \u0930\u0942\u092a \u0939\u0948\u0964","mcq_options":[{"right":"no","answer":"3\/(x + 6)"},{"right":"no","answer":"-3\/(x + 6) + 6\/(x + 8)"},{"right":"yes","answer":"6\/(x + 6) + -3\/(x + 8)"},{"right":"no","answer":"6\/(x + 8) - -3\/(x + 6)"}],"multi_answers":"no","subject_terms":[{"id":1021,"title":"Algebra","slug":"algebra"}],"topic_terms":[{"id":1020,"title":"Algebra","slug":"algebra"},{"id":1062,"title":"Algebraic Fractions","slug":"algebraic-fractions"},{"id":1061,"title":"Partial Fractions","slug":"partial-fractions"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/mcq\/2564","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/comments?post=2564"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/media?parent=2564"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/topic?post=2564"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/subject?post=2564"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/education_level?post=2564"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}