{"id":716797,"date":"2024-05-03T12:40:51","date_gmt":"2024-05-03T07:10:51","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=716797"},"modified":"2024-05-03T12:40:51","modified_gmt":"2024-05-03T07:10:51","slug":"complex-numbers-class-11-worksheet-with-answers","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/worksheets-class-11-maths\/complex-numbers\/","title":{"rendered":"Complex Numbers Class 11 Worksheet with Answers"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/worksheets-class-11-maths\/complex-numbers\/#Complex_Numbers_Worksheet_for_Class_11\" title=\"Complex Numbers Worksheet for Class 11\">Complex Numbers Worksheet for Class 11<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/worksheets-class-11-maths\/complex-numbers\/#Complex_Numbers_Class_11_Worksheet_With_Answers_CBSE\" title=\"Complex Numbers Class 11 Worksheet With Answers CBSE\">Complex Numbers Class 11 Worksheet With Answers CBSE<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/worksheets-class-11-maths\/complex-numbers\/#Answers\" title=\"Answers:\">Answers:<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Complex_Numbers_Worksheet_for_Class_11\"><\/span>Complex Numbers Worksheet for Class 11<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Welcome to our dedicated worksheet on Complex Numbers for Class 11, designed to strengthen your understanding and mastery of complex numbers as part of your Class 11 maths curriculum. This comprehensive resource offers a variety of problems ranging from basic operations to more challenging applications of complex numbers. Accompanied by detailed answers, this worksheet serves as an excellent tool for both learning and revision.<\/p>\n<p>In this Complex Numbers Class 11 PDF, you will encounter problems that not only enhance your computational skills but also deepen your conceptual understanding. Whether you are reviewing for exams or looking to solidify your grasp of the topic, these exercises are tailored to guide you through the complexities of complex numbers effectively.<\/p>\n<p>For those of you studying Class 11 Complex Numbers, this worksheet aligns perfectly with your curriculum requirements, ensuring that all key concepts are covered. From finding the modulus and argument to performing operations such as addition, subtraction, multiplication, and division, each question is designed to challenge and engage.<\/p>\n<p>Students focusing on Class 11 Maths Complex Numbers will find these exercises particularly beneficial. The problems are crafted to reflect the typical questions found in Class 11 assessments, providing a robust platform for practice.<\/p>\n<p>Our Maths Class 11 Complex Numbers section includes a variety of problems that progressively build your ability to solve complex numbers efficiently. The provided solutions are thorough, offering step-by-step explanations to aid in your understanding.<\/p>\n<p>Finally, the &#8220;Maths Complex Numbers Class 11 Solutions&#8221; included in this PDF are comprehensive and clear, ensuring that you have the necessary support to tackle complex numbers with confidence. These solutions align with the <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/chapter-5-complex-numbers-and-quadratic-equations\/\"><strong>NCERT Solution for Class 11 Maths Chapter 5<\/strong><\/a>, providing reliable methods and insights as per the national curriculum. They also serve as a part of the broader <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-11\/maths\/\"><strong>NCERT Solution for Class 11 Maths<\/strong><\/a>, ensuring consistency and thoroughness in your learning process.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Complex_Numbers_Class_11_Worksheet_With_Answers_CBSE\"><\/span>Complex Numbers Class 11 Worksheet With Answers CBSE<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Question 1:<\/strong> Write the complex number \ud835\udc67=3\u22124\ud835\udc56z=3\u22124i in polar form.<\/p>\n<p><strong>Question 2:<\/strong> Find the modulus and argument of the complex number \ud835\udc67=1+\ud835\udc56z=1+i.<\/p>\n<p><strong>Question 3:<\/strong> Simplify the expression (2+3\ud835\udc56)+(4\u22125\ud835\udc56)(2+3i)+(4\u22125i).<\/p>\n<p><strong>Question 4:<\/strong> Subtract 5\u22123\ud835\udc565\u22123i from 3+2\ud835\udc563+2i and express the result in the form \ud835\udc4e+\ud835\udc4f\ud835\udc56a+bi.<\/p>\n<p><strong>Question 5:<\/strong> Multiply (1+\ud835\udc56)(1+i) and (2\u22123\ud835\udc56)(2\u22123i). Express the result in standard form.<\/p>\n<p><strong>Question 6:<\/strong> Divide 4+3\ud835\udc564+3i by 2\u2212\ud835\udc562\u2212i and simplify it to the form \ud835\udc4e+\ud835\udc4f\ud835\udc56a+bi.<\/p>\n<p><strong>Question 7:<\/strong> If \ud835\udc67=4\ud835\udc56z=4i, find \ud835\udc672z2 and \ud835\udc673z3.<\/p>\n<p><strong>Question 8:<\/strong> Solve the equation \ud835\udc672+4=0z2+4=0 for \ud835\udc67z.<\/p>\n<p><strong>Question 9:<\/strong> Express 1\ud835\udc56i1 in the form \ud835\udc4e+\ud835\udc4f\ud835\udc56a+bi.<\/p>\n<p><strong>Question 10:<\/strong> Find the conjugate of the complex number 7\u22125\ud835\udc567\u22125i.<\/p>\n<p><strong>Question 11:<\/strong> Calculate the absolute value of \u22123+4\ud835\udc56\u22123+4i.<\/p>\n<p><strong>Question 12:<\/strong> Determine \ud835\udc67z if \ud835\udc67\u203e=3\u22122\ud835\udc56z=3\u22122i and \ud835\udc67+\ud835\udc67\u203e=10z+z=10.<\/p>\n<p><strong>Question 13:<\/strong> If \ud835\udc67=5\ud835\udc52\ud835\udc56\ud835\udf0b\/4z=5ei\u03c0\/4, express \ud835\udc67z in rectangular form.<\/p>\n<p><strong>Question 14:<\/strong> Solve \ud835\udc67\u22122\ud835\udc56\ud835\udc67+2\ud835\udc56=\ud835\udc56z+2iz\u22122i=i for \ud835\udc67z.<\/p>\n<p><strong>Question 15:<\/strong> Find the sixth roots of 11 and express them in polar form.<\/p>\n<p><strong>Question 16:<\/strong> If \ud835\udc67=\ud835\udc65+\ud835\udc66\ud835\udc56z=x+yi satisfies \ud835\udc672+\ud835\udc67\u203e=0z2+z=0, find \ud835\udc65x and \ud835\udc66y.<\/p>\n<p><strong>Question 17:<\/strong> Simplify (1+\ud835\udc56)8(1+i)8 using De Moivre&#8217;s theorem.<\/p>\n<p><strong>Question 18:<\/strong> Express \u221225\u221225 in terms of \ud835\udc56i.<\/p>\n<p><strong>Question 19:<\/strong> Calculate \u22233+4\ud835\udc56+5\ud835\udc562\u2223\u22233+4i+5i2\u2223.<\/p>\n<p><strong>Question 20:<\/strong> If \ud835\udc671=2+\ud835\udc56z1=2+i and \ud835\udc672=3\u22124\ud835\udc56z2=3\u22124i, find \ud835\udc671\ud835\udc672\u2212\ud835\udc671\u203ez1z2\u2212z1.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Answers\"><\/span>Answers:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li>5(cos\u2061(tan\u2061\u22121(\u22124\/3))+\ud835\udc56sin\u2061(tan\u2061\u22121(\u22124\/3)))5(cos(tan\u22121(\u22124\/3))+isin(tan\u22121(\u22124\/3)))<\/li>\n<li>Modulus = 22, Argument = \ud835\udf0b\/4\u03c0\/4<\/li>\n<li>6\u22122\ud835\udc566\u22122i<\/li>\n<li>\u22122\u2212\ud835\udc56\u22122\u2212i<\/li>\n<li>\u22121\u22125\ud835\udc56\u22121\u22125i<\/li>\n<li>145+115\ud835\udc56514+511i<\/li>\n<li>\u221216\u221216 and \u221264\ud835\udc56\u221264i<\/li>\n<li>\ud835\udc67=2\ud835\udc56,\ud835\udc67=\u22122\ud835\udc56z=2i,z=\u22122i<\/li>\n<li>0\u2212\ud835\udc560\u2212i<\/li>\n<li>7+5\ud835\udc567+5i<\/li>\n<li>55<\/li>\n<li>\ud835\udc67=7+2\ud835\udc56z=7+2i<\/li>\n<li>522+522\ud835\udc56252+252i<\/li>\n<li>\ud835\udc67=4z=4<\/li>\n<li>\ud835\udc52\ud835\udc56\ud835\udf0b\/3,\ud835\udc522\ud835\udc56\ud835\udf0b\/3,1,\ud835\udc52\u2212\ud835\udc56\ud835\udf0b\/3,\ud835\udc52\u22122\ud835\udc56\ud835\udf0b\/3,\u22121ei\u03c0\/3,e2i\u03c0\/3,1,e\u2212i\u03c0\/3,e\u22122i\u03c0\/3,\u22121<\/li>\n<li>\ud835\udc65=0,\ud835\udc66=\u221212x=0,y=\u221221<\/li>\n<li>1616<\/li>\n<li>5\ud835\udc565i<\/li>\n<li>55<\/li>\n<li>10\u22129\ud835\udc5610\u22129i<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Complex Numbers Worksheet for Class 11 Welcome to our dedicated worksheet on Complex Numbers for Class 11, designed to strengthen [&hellip;]<\/p>\n","protected":false},"author":52,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Complex Numbers Class 11","_yoast_wpseo_title":"Complex Numbers Class 11 Worksheet With Answers Pdf Download","_yoast_wpseo_metadesc":"Get your understanding of complex numbers with this Class 11 worksheet PDF. 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