{"id":752456,"date":"2025-01-09T10:29:32","date_gmt":"2025-01-09T04:59:32","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=752456"},"modified":"2025-01-09T10:29:32","modified_gmt":"2025-01-09T04:59:32","slug":"class-11-maths-chapter-5-complex-numbers-and-quadratic-equations-mcqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/mcqs\/class-11-maths\/complex-numbers-and-quadratic-equations\/","title":{"rendered":"Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations MCQs"},"content":{"rendered":"<p><strong><a href=\"https:\/\/infinitylearn.com\/surge\/mcqs\/class-11-maths\/\">MCQs for Class 11 Maths<\/a><\/strong> Chapter 5, covering Complex Numbers and Quadratic Equations, are available here to help students prepare for their exams. These multiple-choice questions include correct answers with explanations. They cover key concepts from the<strong><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-syllabus\/\"> CBSE syllabus<\/a><\/strong>, focusing on topics important for exams.<\/p>\n<p>By practicing these <strong><a href=\"https:\/\/infinitylearn.com\/surge\/mcqs\/\">MCQs<\/a><\/strong>, students can strengthen their understanding of complex numbers and improve their ability to solve quadratic equations with complex roots.<\/p>\n<h2>MCQs for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations with Answers<\/h2>\n<p><strong>What is the imaginary unit denoted by?<\/strong><\/p>\n<ul>\n<li>a) i<\/li>\n<li>b) j<\/li>\n<li>c) k<\/li>\n<li>d) x<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) i<\/p>\n<ul>\n<li><strong>What is <code>i<sup>2<\/sup><\/code> equal to?<\/strong>\n<ul>\n<li>a) 1<\/li>\n<li>b) -1<\/li>\n<li>c) 0<\/li>\n<li>d) i<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) -1<\/li>\n<\/ul>\n<p><strong>What is the conjugate of the complex number <code>z = 3 + 4i<\/code>?<\/strong><\/p>\n<ul>\n<li>a) 3 &#8211; 4i<\/li>\n<li>b) 3 + 4i<\/li>\n<li>c) -3 &#8211; 4i<\/li>\n<li>d) -3 + 4i<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) 3 &#8211; 4i<\/p>\n<p><strong>What is the modulus of <code>z = 3 + 4i<\/code>?<\/strong><\/p>\n<ul>\n<li>a) 5<\/li>\n<li>b) 7<\/li>\n<li>c) 25<\/li>\n<li>d) 1<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) 5<\/p>\n<p><strong>What is <code>(3 + 4i) + (5 - 2i)<\/code>?<\/strong><\/p>\n<ul>\n<li>a) 8 + 2i<\/li>\n<li>b) 8 &#8211; 6i<\/li>\n<li>c) 15 + 8i<\/li>\n<li>d) 8 + 6i<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) 8 + 2i<\/p>\n<p><strong>If <code>z<sub>1<\/sub> = 2 + 3i<\/code> and <code>z<sub>2<\/sub> = 1 - 4i<\/code>, what is <code>z<sub>1<\/sub> - z<sub>2<\/sub><\/code>?<\/strong><\/p>\n<ul>\n<li>a) 1 + 7i<\/li>\n<li>b) 3 + 7i<\/li>\n<li>c) 1 &#8211; 7i<\/li>\n<li>d) 3 &#8211; 7i<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> d) 3 &#8211; 7i<\/p>\n<p><strong>What is the principal argument of <code>z = -1 + i<\/code>?<\/strong><\/p>\n<ul>\n<li>a) \u03c0\/4<\/li>\n<li>b) 3\u03c0\/4<\/li>\n<li>c) -\u03c0\/4<\/li>\n<li>d) \u03c0<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) 3\u03c0\/4<\/p>\n<p><strong>What is the polar form of <code>z = 1 + i<\/code>?<\/strong><\/p>\n<ul>\n<li>a) \u221a2(cos \u03c0\/4 + i sin \u03c0\/4)<\/li>\n<li>b) 2(cos \u03c0\/4 + i sin \u03c0\/4)<\/li>\n<li>c) \u221a2(cos \u03c0\/2 + i sin \u03c0\/2)<\/li>\n<li>d) 1 + i<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) \u221a2(cos \u03c0\/4 + i sin \u03c0\/4)<\/p>\n<p><strong>If <code>z = 2 + 3i<\/code>, what is <code>|z|<sup>2<\/sup><\/code>?<\/strong><\/p>\n<ul>\n<li>a) 13<\/li>\n<li>b) 25<\/li>\n<li>c) 29<\/li>\n<li>d) 9<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) 13<\/p>\n<p><strong>Solve the equation <code>x<sup>2<\/sup> + 1 = 0<\/code>.<\/strong><\/p>\n<ul>\n<li>a) \u00b1i<\/li>\n<li>b) \u00b11<\/li>\n<li>c) i<\/li>\n<li>d) -i<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) \u00b1i<\/p>\n<p><strong>What is <code>(3 + 4i) + (5 - 2i)<\/code>?<\/strong><\/p>\n<ul>\n<li>a) 8 + 2i<\/li>\n<li>b) 8 &#8211; 6i<\/li>\n<li>c) 15 + 8i<\/li>\n<li>d) 8 + 6i<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) 8 + 2i<\/p>\n<p><strong>If <code>z<sub>1<\/sub> = 2 + 3i<\/code> and <code>z<sub>2<\/sub> = 1 - 4i<\/code>, what is <code>z<sub>1<\/sub> - z<sub>2<\/sub><\/code>?<\/strong><\/p>\n<ul>\n<li>a) 1 + 7i<\/li>\n<li>b) 3 + 7i<\/li>\n<li>c) 1 &#8211; 7i<\/li>\n<li>d) 3 &#8211; 7i<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> d) 3 &#8211; 7i<\/p>\n<p><strong>What is the principal argument of <code>z = -1 + i<\/code>?<\/strong><\/p>\n<ul>\n<li>a) \u03c0\/4<\/li>\n<li>b) 3\u03c0\/4<\/li>\n<li>c) -\u03c0\/4<\/li>\n<li>d) \u03c0<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) 3\u03c0\/4<\/p>\n<p><strong>What is the polar form of <code>z = 1 + i<\/code>?<\/strong><\/p>\n<ul>\n<li>a) \u221a2(cos \u03c0\/4 + i sin \u03c0\/4)<\/li>\n<li>b) 2(cos \u03c0\/4 + i sin \u03c0\/4)<\/li>\n<li>c) \u221a2(cos \u03c0\/2 + i sin \u03c0\/2)<\/li>\n<li>d) 1 + i<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) \u221a2(cos \u03c0\/4 + i sin \u03c0\/4)<\/p>\n<p><strong>If <code>z = 2 + 3i<\/code>, what is <code>|z|<sup>2<\/sup><\/code>?<\/strong><\/p>\n<ul>\n<li>a) 13<\/li>\n<li>b) 25<\/li>\n<li>c) 29<\/li>\n<li>d) 9<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) 13<\/p>\n<p><strong>Solve the equation <code>x<sup>2<\/sup> + 1 = 0<\/code>.<\/strong><\/p>\n<ul>\n<li>a) \u00b1i<\/li>\n<li>b) \u00b11<\/li>\n<li>c) i<\/li>\n<li>d) -i<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) \u00b1i<\/p>\n<p><strong>What is the sum of the roots of <code>x<sup>2<\/sup> - 3x + 2 = 0<\/code>?<\/strong><\/p>\n<ul>\n<li>a) 3<\/li>\n<li>b) -3<\/li>\n<li>c) 2<\/li>\n<li>d) 1<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) 3<\/p>\n<p><strong>What is the product of the roots of <code>x<sup>2<\/sup> + 2x + 1 = 0<\/code>?<\/strong><\/p>\n<ul>\n<li>a) 1<\/li>\n<li>b) 2<\/li>\n<li>c) 0<\/li>\n<li>d) -1<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> d) -1<\/p>\n<p><strong>The complex number <code>z = a + bi<\/code> lies in which quadrant if <code>a &gt; 0, b &gt; 0<\/code>?<\/strong><\/p>\n<ul>\n<li>a) First<\/li>\n<li>b) Second<\/li>\n<li>c) Third<\/li>\n<li>d) Fourth<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) First<\/p>\n<p><strong>If <code>z = 4 - 3i<\/code>, what is <code>&amp;overline;z \u22c5 z<\/code>?<\/strong><\/p>\n<ul>\n<li>a) 25<\/li>\n<li>b) 16<\/li>\n<li>c) 9<\/li>\n<li>d) 0<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) 25<\/p>\n<p><strong>What is the cube root of unity, <code>\u03c9<\/code>, such that <code>\u03c9<sup>3<\/sup> = 1<\/code>?<\/strong><\/p>\n<ul>\n<li>a) 1<\/li>\n<li>b) -1<\/li>\n<li>c) (-1 + \u221a3i)\/2<\/li>\n<li>d) \u221a3i<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> c) (-1 + \u221a3i)\/2<\/p>\n<p><strong>Solve <code>x<sup>2<\/sup> + 4x + 5 = 0<\/code> for complex roots.<\/strong><\/p>\n<ul>\n<li>a) -2 \u00b1 i<\/li>\n<li>b) -2 \u00b1 3i<\/li>\n<li>c) 2 \u00b1 i<\/li>\n<li>d) 2 \u00b1 3i<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) -2 \u00b1 i<\/p>\n<p><strong>What is the polar form of <code>z = -2i<\/code>?<\/strong><\/p>\n<ul>\n<li>a) 2(cos 3\u03c0\/2 + i sin 3\u03c0\/2)<\/li>\n<li>b) 2(cos \u03c0 + i sin \u03c0)<\/li>\n<li>c) 2(cos 0 + i sin 0)<\/li>\n<li>d) 2(cos \u03c0\/2 + i sin \u03c0\/2)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) 2(cos 3\u03c0\/2 + i sin 3\u03c0\/2)<\/p>\n<p><strong>The modulus of <code>z = -5 + 12i<\/code> is:<\/strong><\/p>\n<ul>\n<li>a) 13<\/li>\n<li>b) 17<\/li>\n<li>c) 25<\/li>\n<li>d) 0<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) 13<\/p>\n<p><strong>What is <code>i<sup>4<\/sup><\/code>?<\/strong><\/p>\n<ul>\n<li>a) 1<\/li>\n<li>b) -1<\/li>\n<li>c) i<\/li>\n<li>d) 0<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) 1<\/p>\n<p><strong>For the quadratic equation <code>x<sup>2<\/sup> + 3x + 2 = 0<\/code>, the roots are:<\/strong><\/p>\n<ul>\n<li>a) -1 and -2<\/li>\n<li>b) 1 and 2<\/li>\n<li>c) 3 and -2<\/li>\n<li>d) 2 and -1<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) -1 and -2<\/p>\n","protected":false},"excerpt":{"rendered":"<p>MCQs for Class 11 Maths Chapter 5, covering Complex Numbers and Quadratic Equations, are available here to help students prepare [&hellip;]<\/p>\n","protected":false},"author":56,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Class 11 Maths","_yoast_wpseo_title":"Class 11 Maths MCQ \u2013 Complex Numbers and Quadratic Equations - IL","_yoast_wpseo_metadesc":"Complex numbers and Quadratic Equations is an important chapter included in NCERT Class 11 Mathematics. It is used to combine quadratic measurements with the roots of complex numbers.","custom_permalink":"mcqs\/class-11-maths\/complex-numbers-and-quadratic-equations\/"},"categories":[11038],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Class 11 Maths MCQ \u2013 Complex Numbers and Quadratic Equations - IL<\/title>\n<meta name=\"description\" content=\"Complex numbers and Quadratic Equations is an important chapter included in NCERT Class 11 Mathematics. 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