complex numbers multiple choice questions with answers pdf

We have provided Complex Numbers and Quadratic Equations Class 11 Maths MCQs Questions with Answers to help students understand the concept very well. Please note that, as on the actual test form, approximately one third of the multiple-choice questions in this test guide are more complex questions that require 2–3 minutes This is a multiple choice question (MCQ) quiz. C ell references but not values d. Value and cell references Q. . Cards bearing numbers 3 to 20 are placed in a bag and mixed thoroughly. � : : : : : 9. Perform the operations and write the result in standard form. h &� CJ UVaJ j� h &� h &� EH��Uj�@yP Practice the multiple choice questions to test understanding of important topics in the chapters. 5 cis 36.87 b. Answer/ Explanation. Start below. 3-√-2 a. a. Tags: ... How to Effectively Answer CBSE Board Examination Question Papers. Then(a) a² = b(b) a² = 2b(c) a² = 3b(d) a² = 4b, Answer: (c) a² = 3bHint:Given, z1 and z2 be two roots of the equation z² + az + b = 0Now, z1 + z2 = -a and z1 × z2 = bSince z1 and z2 and z3 from an equilateral triangle.⇒ z12 + z22 + z32 = z1 × z2 + z2 × z3 + z1 × z3⇒ z12+ z22 = z1 × z2 {since z3 = 0}⇒ (z1 + z2)² – 2z1 × z2 = z1 × z2⇒ (z1 + z2)² = 2z1 × z2 + z1 × z2⇒ (z1 + z2)² = 3z1 × z2⇒ (-a)² = 3b⇒ a² = 3b, Question 10:The complex numbers sin x + i cos 2x are conjugate to each other for(a) x = nπ(b) x = 0(c) x = (n + 1/2) π(d) no value of x, Answer: (d) no value of xHint:Given complex number = sin x + i cos 2xConjugate of this number = sin x – i cos 2xNow, sin x + i cos 2x = sin x – i cos 2x⇒ sin x = cos x and sin 2x = cos 2x {comparing real and imaginary part}⇒ tan x = 1 and tan 2x = 1Now both of them are not possible for the same value of x.So, there exist no value of x, Question 11.The curve represented by Im(z²) = k, where k is a non-zero real number, is(a) a pair of striaght line(b) an ellipse(c) a parabola(d) a hyperbola. 8 cis 45 But first equality of complex numbers must be defined. We hope the given NCERT MCQ Questions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations with Answers Pdf free download will help you. Convert into rectangular form a. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. h &� CJ UVaJ jH h &� h &� EH��Uj�@yP To create a formula, you can use: a. a) Find b and c b) Write down the second root and check it. A complex number is of the form i 2 =-1. . शिक्षण प्रक्रिया में शिक्षक को अनेक कार्य एक साथ करने पड़ते हैं जैसे लिखना, प्रश्न पूछना, स्पष्ट करना, प्रदर्शन करना आदि... शिक्षण कौशल ( Teaching Skill) 2) - 9 2) EMBED Equation.3 45 27 9 + 36i -27 - 36i 5. Answer: d Explaination: Reason: Total cards = 18 1. Multiple Choice Questions. The probability that the number on the card taken out is an even number, is. ��ࡱ� > �� '` �� EMBED Equation.3 8i -8i 6i -6i 9. .? Find the product of 4 + i and 4 � i 15 17 EMBED Equation.3 16 4. You will see that, in general, you proceed as in real numbers, but using i 2 =−1 where appropriate. If you have any queries regarding CBSE Class 11 Maths Complex Numbers and Quadratic Equations MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon. शिक्षण प्रक्रिया में शिक्षक को अनेक कार्य एक साथ करने पड़ते हैं जैसे लिखना, प्रश्न पूछना, स्पष्ट करना, प्रदर्शन करना... MCQ Questions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic... 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You can also have online access to Engineering Maths Multiple Choice Questions Answers EBook. b. The notion of complex numbers increased the solutions to a lot of problems. Perform the operation and write the result in standard form. More.. h &� CJ UVaJ j h &� UhH h &� # 4 5 8 : @ A ] ^ a y � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � शिक्षण प्रक्रिया में शिक्षक को अनेक कार्य एक साथ करने पड़ते हैं जैसे लिखना, प्रश्न पूछना, स्पष्ट करना, प्रदर्शन करना... शिक्षण कौशल ( Teaching Skill) Engineering Maths Objective type Questions Answers are also used at SSC and HSc level for Exam preparation. Find all complex numbers z such that z 2 = -1 + 2 sqrt(6) i. Math 120 Final Review: Multiple Choice Version 1 Find the domain of the following functions: 1. a. b. c. d. Answer: (d) a hyperbolaHint:Let z = x + iyNow, z² = (x + iy)²⇒ z² = x² – y² + 2xyGiven, Im(z²) = k⇒ 2xy = k⇒ xy = k/2 which is a hyperbola. ... Then multiply the number by its complex conjugate. Find the absolute value of complex numbers outlined in the quiz. The complex number 2 + 4i is one of the root to the quadratic equation x 2 + bx + c = 0, where b and c are real numbers. The section contains questions on deMoivre’s theorem, trigonometric functions expansion, complex conjugates, complex plane regions, complex numbers logarithm, powers and roots. Probability Questions And Answers Pdf Question 11. This is termed the algebra of complex numbers. (1 – w + w²)×(1 – w² + w4)×(1 – w4 + w8) × …………… to 2n factors is equal to(a) 2n(b) 22n(c) 23n(d) 24n, Answer: (b) 22nHint:Given, (1 – w + w²)×(1 – w² + w4)×(1 – w4 + w8) × …………… to 2n factors= (1 – w + w2)×(1 – w2 + w )×(1 – w + w2) × …………… to 2n factors{Since w4 = w, w8 = w2}= (-2w) × (-2w²) × (-2w) × (-2w²)× …………… to 2n factors= (2² w³)×(2² w³)×(2² w³) …………… to 2n factors= (2²)n {since w³ = 1}= 22n, Question 20.The modulus of 5 + 4i is(a) 41(b) -41(c) √41(d) -√41, Answer: (c) √41Hint:Let Z = 5 + 4iNow modulus of Z is calculated as|Z| = √(5² + 4²)⇒ |Z| = √(25 + 16)⇒ |Z| = √41So, the modulus of 5 + 4i is √41. i = - 1 1) A) True B) False Write the number as a product of a real number and i. Simplify the radical expression. � : . Question 1.The value of √(-16) is(a) -4i(b) 4i(c) -2i(d) 2i, Answer: (b) 4iHint:Given, √(-16) = √(16) × √(-1)= 4i {since i = √(-1) }, Question 2.The value of √(-144) is(a) 12i(b) -12i(c) ±12i(d) None of these, Answer: (a) 12iHint:Given, √(-144) = √{(-1) × 144}= √(-1) × √(144)= i × 12 {Since √(-1) = i}= 12iSo, √(-144) = 12i, Question 3:The value of √(-25) + 3√(-4) + 2√(-9) is(a) 13i(b) -13i(c) 17i(d) -17i, Answer: (c) 17iHint:Given, √(-25) + 3√(-4) + 2√(-9)= √{(-1) × (25)} + 3√{(-1) × 4} + 2√{(-1) × 9}= √(-1) × √(25) + 3{√(-1) × √4} + 2{√(-1) × √9}= 5i + 3×2i + 2×3i {since √(-1) = i}= 5i + 6i + 6i= 17iSo, √(-25) + 3√(-4) + 2√(-9) = 17i, Question 4.if z lies on |z| = 1, then 2/z lies on(a) a circle(b) an ellipse(c) a straight line(d) a parabola. &. � L � : : : : : : : . MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. Answer: (a) a circleHint:Let w = 2/zNow, |w| = |2/z|=> |w| = 2/|z|=> |w| = 2This shows that w lies on a circle with center at the origin and radius 2 units. h &� CJ UVaJ j� h &� h &� EH��Uj�@yP Click here to join our FB Page and FB Group for Latest update and preparation tips and queries. . Select the correct answer and submit. Multiple choice questions on number system quiz answers PDF covers MCQ questions on topics: Properties of real numbers, rational numbers, irrational numbers, complex numbers, basic function, binary operation, De Moivre’s theorem, groups, linear and quadratic function, sets, operation on three sets, and relation. 3 + 2i. Some Check the below NCERT MCQ Questions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations with Answers Pdf free download. A card is taken out from the bag at random. 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