{"id":18431,"date":"2026-05-03T04:32:45","date_gmt":"2026-05-02T22:32:45","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/complex-number-algebra-1\/"},"modified":"2026-05-03T04:32:45","modified_gmt":"2026-05-02T22:32:45","slug":"complex-number-algebra-1","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/complex-number-algebra-1\/","title":{"rendered":"Complex Number Algebra 1"},"content":{"rendered":"<p>For z=-2+2i, find z\u00b7conjugate(z).<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>8<\/li>\n<li>0<\/li>\n<li>-4<\/li>\n<li>4<\/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-18431","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 = -2 and b = 2. Therefore z\u00b7conjugate(z) = (-2)\u00b2 + (2)\u00b2 = 4 + 4 = 8. So the correct answer is 8.","mcq_options":[{"right":"yes","answer":"8"},{"right":"no","answer":"0"},{"right":"no","answer":"-4"},{"right":"no","answer":"4"}],"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\/18431","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=18431"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18431"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18431"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18431"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18431"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}