{"id":18433,"date":"2026-05-03T04:33:02","date_gmt":"2026-05-02T22:33:02","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/complex-number-algebra-3\/"},"modified":"2026-05-03T04:33:02","modified_gmt":"2026-05-02T22:33:02","slug":"complex-number-algebra-3","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/complex-number-algebra-3\/","title":{"rendered":"Complex Number Algebra 3"},"content":{"rendered":"<p>For z=6+-1i, find z\u00b7conjugate(z).<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>12<\/li>\n<li>-2<\/li>\n<li>35<\/li>\n<li>37<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2705,2733],"subject":[1425],"education_level":[1896],"class_list":["post-18433","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-complex-numbers","subject-mathematics","education_level-hsc"],"mcq_note":"For a complex number z = a + bi, multiplying by its conjugate gives z\u00b7conjugate(z) = a\u00b2 + b\u00b2. This is the square of the modulus, so it is always non-negative. Here a = 6 and b = -1. Therefore z\u00b7conjugate(z) = (6)\u00b2 + (-1)\u00b2 = 36 + 1 = 37. So the correct answer is 37.","mcq_options":[{"right":"no","answer":"12"},{"right":"no","answer":"-2"},{"right":"no","answer":"35"},{"right":"yes","answer":"37"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2705,"title":"Algebra","slug":"algebra"},{"id":2733,"title":"Complex Numbers","slug":"complex-numbers"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/18433","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=18433"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18433"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18433"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18433"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18433"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}