{"id":18442,"date":"2026-05-03T04:34:17","date_gmt":"2026-05-02T22:34:17","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/complex-number-algebra-12\/"},"modified":"2026-05-03T04:34:17","modified_gmt":"2026-05-02T22:34:17","slug":"complex-number-algebra-12","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/complex-number-algebra-12\/","title":{"rendered":"Complex Number Algebra 12"},"content":{"rendered":"<p>Find the conjugate of z=-5+-2i.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>-5&#8211;2i<\/li>\n<li>5+-2i<\/li>\n<li>5&#8211;2i<\/li>\n<li>-5+-2i<\/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-18442","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-complex-numbers","subject-mathematics","education_level-hsc"],"mcq_note":"The conjugate of a complex number keeps the real part the same and changes only the sign of the imaginary part. In symbols, the conjugate of a + bi is a - bi. Here the real part is -5, and the imaginary coefficient is -2. So we keep -5 unchanged and reverse the sign of -2i. That gives -5--2i, which is the correct conjugate.","mcq_options":[{"right":"yes","answer":"-5--2i"},{"right":"no","answer":"5+-2i"},{"right":"no","answer":"5--2i"},{"right":"no","answer":"-5+-2i"}],"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\/18442","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=18442"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18442"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18442"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18442"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18442"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}