{"id":36661,"date":"2026-05-05T22:14:24","date_gmt":"2026-05-05T16:14:24","guid":{"rendered":"https:\/\/mcqacademy.com\/bn\/mcq\/complex-number-algebra-5\/"},"modified":"2026-05-05T22:14:24","modified_gmt":"2026-05-05T16:14:24","slug":"complex-number-algebra-5","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/bn\/mcq\/complex-number-algebra-5\/","title":{"rendered":"\u099c\u099f\u09bf\u09b2 \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4 5"},"content":{"rendered":"<p>z=-3+2i \u09b9\u09b2\u09c7, z\u00b7conjugate(z) \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u09cb\u0964<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>4<\/li>\n<li>-6<\/li>\n<li>13<\/li>\n<li>5<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[8551,8564],"subject":[7852],"education_level":[8343],"class_list":["post-36661","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-complex-numbers","subject-mathematics","education_level-hsc"],"mcq_note":"\u099c\u099f\u09bf\u09b2 \u09b8\u0982\u0996\u09cd\u09af\u09be z = a + bi \u09b9\u09b2\u09c7, \u09a4\u09be\u09b0 conjugate \u09a6\u09bf\u09af\u09bc\u09c7 \u0997\u09c1\u09a3 \u0995\u09b0\u09b2\u09c7 z\u00b7conjugate(z) = a\u00b2 + b\u00b2 \u09b9\u09af\u09bc\u0964 \u098f\u099f\u09bf \u09ae\u09a1\u09c1\u09b2\u09be\u09b8\u09c7\u09b0 \u09ac\u09b0\u09cd\u0997, \u09a4\u09be\u0987 \u09ae\u09be\u09a8\u099f\u09bf \u0995\u0996\u09a8\u0993 \u098b\u09a3\u09be\u09a4\u09cd\u09ae\u0995 \u09b9\u09af\u09bc \u09a8\u09be\u0964 \u098f\u0996\u09be\u09a8\u09c7 a = -3 \u098f\u09ac\u0982 b = 2\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 z\u00b7conjugate(z) = (-3)\u00b2 + (2)\u00b2 = 9 + 4 = 13\u0964 \u09a4\u09be\u0987 \u09b8\u09a0\u09bf\u0995 \u0989\u09a4\u09cd\u09a4\u09b0 13\u0964","mcq_options":[{"right":"no","answer":"4"},{"right":"no","answer":"-6"},{"right":"yes","answer":"13"},{"right":"no","answer":"5"}],"multi_answers":"no","subject_terms":[{"id":7852,"title":"\u0997\u09a3\u09bf\u09a4\u09b6\u09be\u09b8\u09cd\u09a4\u09cd\u09b0","slug":"mathematics"}],"topic_terms":[{"id":8551,"title":"Algebra","slug":"algebra"},{"id":8564,"title":"Complex Numbers","slug":"complex-numbers"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/mcq\/36661","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/comments?post=36661"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/media?parent=36661"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/topic?post=36661"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/subject?post=36661"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/bn\/wp-json\/wp\/v2\/education_level?post=36661"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}