{"id":18449,"date":"2026-05-03T04:35:17","date_gmt":"2026-05-02T22:35:17","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/complex-number-algebra-20\/"},"modified":"2026-05-03T04:35:17","modified_gmt":"2026-05-02T22:35:17","slug":"complex-number-algebra-20","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/complex-number-algebra-20\/","title":{"rendered":"Complex Number Algebra 20"},"content":{"rendered":"<p>Find the conjugate of z=3+3i.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>3+3i<\/li>\n<li>3-3i<\/li>\n<li>-3+3i<\/li>\n<li>-3-3i<\/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-18449","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 3, and the imaginary coefficient is 3. So we keep 3 unchanged and reverse the sign of 3i. That gives 3-3i, which is the correct conjugate.","mcq_options":[{"right":"no","answer":"3+3i"},{"right":"yes","answer":"3-3i"},{"right":"no","answer":"-3+3i"},{"right":"no","answer":"-3-3i"}],"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\/18449","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=18449"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18449"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18449"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18449"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18449"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}