{"id":2655,"date":"2026-05-10T17:10:54","date_gmt":"2026-05-10T17:10:54","guid":{"rendered":"https:\/\/mcqacademy.com\/hi\/mcq\/complex-number-algebra-9\/"},"modified":"2026-05-10T17:10:54","modified_gmt":"2026-05-10T17:10:54","slug":"complex-number-algebra-9","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/hi\/mcq\/complex-number-algebra-9\/","title":{"rendered":"\u0938\u092e\u094d\u092e\u093f\u0936\u094d\u0930 \u0938\u0902\u0916\u094d\u092f\u093e \u092c\u0940\u091c\u0917\u0923\u093f\u0924 9"},"content":{"rendered":"<p>z=-4+-2i \u0915\u0947 \u0932\u093f\u090f, z\u00b7conjugate(z) \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902\u0964<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>12<\/li>\n<li>-4<\/li>\n<li>20<\/li>\n<li>-8<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[1020,1068],"subject":[1021],"education_level":[5],"class_list":["post-2655","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-complex-numbers","subject-algebra","education_level-hsc"],"mcq_note":"\u0915\u093f\u0938\u0940 complex number z = a + bi \u0915\u0947 \u0932\u093f\u090f, \u0909\u0938\u0915\u0947 conjugate \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0928\u0947 \u092a\u0930 z\u00b7conjugate(z) = a\u00b2 + b\u00b2 \u092e\u093f\u0932\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 modulus \u0915\u093e square \u0939\u0948, \u0907\u0938\u0932\u093f\u090f \u0939\u092e\u0947\u0936\u093e non-negative \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092f\u0939\u093e\u0901 a = -4 \u0914\u0930 b = -2 \u0939\u0948\u0902\u0964 \u0907\u0938\u0932\u093f\u090f z\u00b7conjugate(z) = (-4)\u00b2 + (-2)\u00b2 = 16 + 4 = 20\u0964 \u0905\u0924\u0903 \u0938\u0939\u0940 \u0909\u0924\u094d\u0924\u0930 20 \u0939\u0948\u0964","mcq_options":[{"right":"no","answer":"12"},{"right":"no","answer":"-4"},{"right":"yes","answer":"20"},{"right":"no","answer":"-8"}],"multi_answers":"no","subject_terms":[{"id":1021,"title":"Algebra","slug":"algebra"}],"topic_terms":[{"id":1020,"title":"Algebra","slug":"algebra"},{"id":1068,"title":"Complex Number Algebra","slug":"complex-numbers"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/mcq\/2655","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=2655"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/media?parent=2655"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/topic?post=2655"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/subject?post=2655"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/education_level?post=2655"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}