This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 5 Complex Numbers And Quadratic Equations – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 5 Complex Numbers And Quadratic Equations Quiz 2 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which of the following is a property of the addition of complex numbers? A) Distributive law. B) All of the above. C) Commutative law. D) Associative law. Show Answer Correct Answer: B) All of the above. 2. What is the complex conjugate of 4-3i? A) 1/(4-3i). B) 1/(4+3i). C) 4 + 3i. D) -4 + 3i. Show Answer Correct Answer: C) 4 + 3i. 3. If a complex number z lies in the interior or on the boundary of a circle of radius 3 units and centre (-4, 0), the greatest value of |z +1| is A) 6. B) 3. C) 10. D) 4. Show Answer Correct Answer: A) 6. 4. Which law states that the sum of two complex numbers is also a complex number? A) Associative Law. B) Closure Law. C) Commutative Law. D) Existence of Additive Identity. Show Answer Correct Answer: B) Closure Law. 5. Which statement about complex conjugates is true? A) The conjugate of a + bi is-a + bi. B) The conjugate of a + bi is a-bi. C) The conjugate of a + bi is-a-bi. D) The conjugate of a + bi is b + ai. Show Answer Correct Answer: B) The conjugate of a + bi is a-bi. 6. What is the imaginary part of the complex number z = 5-4i? A) 4. B) 5. C) -4. D) 0. Show Answer Correct Answer: C) -4. 7. What is the modulus of the complex number z = 3 + 4i? A) 12. B) 7. C) 1. D) 5. Show Answer Correct Answer: D) 5. 8. What are the solutions to $y^2-13y + 40 = 0$ A) Y = 5 and y = 8. B) Y =-5 and y =-8. C) Y = 4 and y = 10. D) Y =-4 and y =-10. Show Answer Correct Answer: A) Y = 5 and y = 8. 9. Describe the nature of the roots for the equation $49x^2-28x + 4 = 0$ A) Two complex roots. B) One complex root. C) Two real roots. D) One real root. Show Answer Correct Answer: D) One real root. 10. What is the polar representation of a complex number? A) A point in the Argand plane. B) A point in the Cartesian plane. C) A point in the complex plane. D) A point in the XY-plane. Show Answer Correct Answer: C) A point in the complex plane. 11. What is the multiplicative inverse of a complex number z? A) Z, 1/z =-1. B) Z, 1/z = 0. C) Z, 1/z = 1. D) Z, 1/z = z. Show Answer Correct Answer: C) Z, 1/z = 1. 12. What is the result of (1 + 2i)-(3-i)? A) 2-3i. B) -2 + 3i. C) -2-i. D) 2 + i. Show Answer Correct Answer: D) 2 + i. 13. Divide. $\frac{1}{9i}$ A) $\frac{2i}{9}$. B) $\frac{i}{9}$. C) $\frac{-i}{5}$. D) $\frac{-i}{9}$. Show Answer Correct Answer: D) $\frac{-i}{9}$. 14. Compute (2 + 3i)(1-4i) and write the result in standard form a + bi. A) -10-5i. B) 14-5i. C) -10 + 5i. D) 14 + 5i. Show Answer Correct Answer: B) 14-5i. 15. The equations of two lines are:2x-y=4 and y=-2x+8. What is the value of x in the solution for this system? A) X=3. B) X=8. C) X=5. D) X=11. Show Answer Correct Answer: A) X=3. 16. Value of iota, $i$ A) $\sqrt{-1}$. B) $0$. C) $1$. D) $-1$. Show Answer Correct Answer: A) $\sqrt{-1}$. 17. What is the discriminant $\left(b^2-4ac\right)$ $x^2-8x + 7 = 0$ A) 36. B) -36. C) 92. D) -92. Show Answer Correct Answer: A) 36. 18. Which law states that the product of two complex numbers is also a complex number? A) Existence of Multiplicative Identity. B) Associative Law. C) Closure Law. D) Commutative Law. Show Answer Correct Answer: C) Closure Law. 19. What is the conjugate of the complex number z = 2-3i? A) 2 + 3i. B) -2-3i. C) 2-3i. D) -2 + 3i. Show Answer Correct Answer: A) 2 + 3i. 20. What is the conjugate of 7-5i A) 5+7i. B) 7-5i. C) 7+5i. D) 5-7i. Show Answer Correct Answer: C) 7+5i. 21. What are the solutions to the system of equations? $f:y =-\frac{1}{2}x^2$ $g:y =-x-4$ A) ((-2, -2) and (4, -8)). B) ((0, 0) and (2, -2)). C) ((0, -4) and (4, -8)). D) ((-2, -2) and (4, 0)). Show Answer Correct Answer: A) ((-2, -2) and (4, -8)). 22. What is the algebraic form of a complex number? A) A * bi. B) A + bi. C) A / bi. D) A-bi. Show Answer Correct Answer: B) A + bi. 23. What is the conjugate of 7i? A) 7i. B) -7 + i. C) 7-i. D) -7i. Show Answer Correct Answer: D) -7i. 24. The quadratic formula can be used to solve ANY quadratic equation. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 25. Compute-i + (7-5i)-3(2-3i). Write the result in standard form a + bi. A) 1 + 5i. B) 1-3i. C) 13-5i. D) 1-5i. Show Answer Correct Answer: B) 1-3i. 26. What is the conjugate of 5? A) 5. B) 5 + i. C) 5-i. D) -5. Show Answer Correct Answer: A) 5. 27. What is the product of the complex numbers (3 + 2i) and (1-i)? A) 1-5i. B) 5-i. C) 1 + 5i. D) 5 + i. Show Answer Correct Answer: B) 5-i. 28. What is the result of (1 + 2i)(3 + 4i)? A) 10 + 11i. B) 7 + 10i. C) 11 + 10i. D) 10 + 7i. Show Answer Correct Answer: C) 11 + 10i. 29. $-\\sqrt[]{-72}$ A) $-4i\\sqrt[]{13}$. B) $6i\\sqrt[]{2}$. C) $-6i\\sqrt[]{2}$. D) $-14i\\sqrt[]{7}$. Show Answer Correct Answer: C) $-6i\\sqrt[]{2}$. 30. What are the x-intercepts of the function f(x) = (x + 4)(x-7) A) (-4, 0) and (7, 0). B) (4, 0) and (-7, 0). C) (0, -4) and (0, 7). D) (0, 4) and (0, -7). Show Answer Correct Answer: A) (-4, 0) and (7, 0). 31. Solve:$x^2+5x+9=0$ A) $x=-5\pm i\sqrt{11}$. B) $x=-\frac{5}{2}\pm\frac{\sqrt{11}}{2}$. C) $x=-\frac{5}{2}\pm\frac{i\\sqrt{11}}{2}$. D) $x=\frac{5}{2}\pm\frac{i\sqrt{11}}{2}$. Show Answer Correct Answer: C) $x=-\frac{5}{2}\pm\frac{i\\sqrt{11}}{2}$. 32. What is the conjugate of 3-2i? A) -3 + 2i. B) -3-2i. C) 3-2i. D) 3 + 2i. Show Answer Correct Answer: D) 3 + 2i. 33. What expression is used to determine the number of real solutions of a quadratic equation? A) $ax^2+bx+c$. B) $-b$. C) $b$. D) $b^2-4ac$. Show Answer Correct Answer: D) $b^2-4ac$. 34. Which of these describes the solution(s) to the equation $-3x^2 + 5x-11 = 0$ A) One repeated solution. B) One complex solution. C) Two real solutions. D) Two complex solutions. Show Answer Correct Answer: D) Two complex solutions. 35. How many real solutions are there in the equation below? $x^2-10x+25$ A) Two real solutions. B) No real solutions;one complex solution. C) One repeated real solution. D) No real solutions; two complex solutions. Show Answer Correct Answer: C) One repeated real solution. 36. $-\frac{x^2}{4}+3=19$ A) $x=\pm8i$. B) $x=\pm i\sqrt{8}$. C) $x=\pm8$. D) $x=8i$. Show Answer Correct Answer: A) $x=\pm8i$. 37. Compute (-3 + 7i)(1-2i) and write the result in standard form a + bi. A) -11 + 13i. B) -11-13i. C) 11 + 13i. D) 11-13i. Show Answer Correct Answer: C) 11 + 13i. 38. If the complex number z = x + iy satisfies the condition |z + 1| = 1, then z lies on A) X-axis. B) Circle with centre (1, 0) and radius 1. C) Circle with centre (-1, 0) and radius 1. D) Y-axis. Show Answer Correct Answer: C) Circle with centre (-1, 0) and radius 1. 39. Write the product (2 + 7i)(2-7i) in the form a + bi. A) $4-14i^2$. B) 4-49i. C) 53 + 14i. D) 53. Show Answer Correct Answer: D) 53. 40. Which of these describes the solution(s) to the equation $x^2-8x + 7 = 0$ A) Two imaginary solutions. B) One real solution. C) Two real solutions. D) No solution. Show Answer Correct Answer: C) Two real solutions. 41. Simplify i$^{23}$ A) -1. B) 1. C) -i. D) I. Show Answer Correct Answer: C) -i. 42. What is the simplifies form of (11-7i)-(-3 + 12i) A) 8 + 5i. B) 14-19i. C) 13-19i. D) 8-19i. Show Answer Correct Answer: B) 14-19i. 43. What symbol is used to denote the imaginary unit? A) J. B) M. C) K. D) I. Show Answer Correct Answer: D) I. 44. What is the conjugate of-2 + 4i? A) -2 + 4i. B) 2-4i. C) 2 + 4i. D) -2-4i. Show Answer Correct Answer: D) -2-4i. 45. What is the imaginary part of the complex number z =-1 + 3i? A) 1. B) -1. C) 3. D) 0. Show Answer Correct Answer: C) 3. 46. Simplify:(7 + 2i)(9-6i) A) 51-24i. B) 63-24i-12i$^{2}$. C) 58 + 60i. D) 75-24i. Show Answer Correct Answer: D) 75-24i. 47. (-6+2i)-(-1-3i)-(-1+3i) A) -4-2i. B) -4+2i. C) 4-2i. D) 4+2i. Show Answer Correct Answer: B) -4+2i. 48. The conjugate of $-4-7i$ A) $7+4i$. B) $-4+7i$. C) $4-7i$. D) $7-4i$. Show Answer Correct Answer: B) $-4+7i$. 49. What is the difference of the expression (11-5i)-(7-4i)? A) -4 + i. B) 4-9i. C) -4-9i. D) 4-i. Show Answer Correct Answer: D) 4-i. 50. Richard tosses a ball into the air. The function $h(t) =-5t^2 + 10t + 6$ A) 0.5 seconds. B) 1 second. C) 1.5 seconds. D) The ball does not reach a height of 12 meters. Show Answer Correct Answer: D) The ball does not reach a height of 12 meters. 51. What is the result of (5-3i)(2 + i)? A) 10-13i. B) 10-11i. C) 10 + 11i. D) 10 + 13i. Show Answer Correct Answer: A) 10-13i. 52. The simplified value of (1-i)$^{3}$/(1-i$^{3}$) is A) 1. B) -2. C) -i. D) 2i. Show Answer Correct Answer: B) -2. 53. Plot the points that are the solutions to the system of equations. $y=7x+1$ $y = 4x + 3$ A) (1, 2) and (3, 4). B) (2, 3) and (4, 5). C) (0, 3) and (1, 4). D) (1, 3) and (2, 4). Show Answer Correct Answer: C) (0, 3) and (1, 4). 54. Simplify $(4+5i)-(8-i)$ $a+bi$ A) $-4+6i$. B) -4+6i Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $-4+6i$. 55. Solve by Completing the Square:$-2x^2+10x-2=0$ A) $x=-1$. B) $x=\frac{5\pm5}{2}$. C) $x=\frac{5\pm\sqrt{21}}{2}$. D) $x=\frac{2\pm7\sqrt{3}}{2}$. Show Answer Correct Answer: C) $x=\frac{5\pm\sqrt{21}}{2}$. 56. Find the product:$(5+3i)(5-3i)$ A) $9$. B) $25$. C) $34$. D) $16$. Show Answer Correct Answer: C) $34$. 57. The value of x and y if $\left(2x-3\right)+i\left(3y-2\right)=0$ A) $x=-\frac{2}{3}, y=-\frac{3}{2}$. B) $x=\frac{3}{2}, y=\frac{2}{3}$. C) $x=3, y=2$. D) $x=\frac{2}{3}, y=\frac{3}{2}$. Show Answer Correct Answer: B) $x=\frac{3}{2}, y=\frac{2}{3}$. 58. What is the product of the expression (4 + 5i)(3 + 8i)? A) 52 + 47i. B) -52 + 47i. C) -28 + 47i. D) 12 + 47i. Show Answer Correct Answer: B) -52 + 47i. 59. Write the equation $x^2 + 24x + 60 = 0$ $(x + p)^2 = q$ A) $(x + 12)^2 =-60$. B) $(x + 12)^2 = 84$. C) $(x + 12)^2 = 204$. D) $(x + 6)^2 =-24$. Show Answer Correct Answer: B) $(x + 12)^2 = 84$. 60. What are the solutions to $3x^2-7x-22 = 0$ A) X = $\frac{-7 \pm \sqrt{313}}{6}$. B) X = $\frac{7 \pm \sqrt{313}}{6}$. C) X = $\frac{7 \pm i\sqrt{215}}{6}$. D) X = $\frac{-7 \pm i\sqrt{215}}{6}$. Show Answer Correct Answer: B) X = $\frac{7 \pm \sqrt{313}}{6}$. ← PreviousNext →Related QuizzesScience QuizzesClass 11 QuizzesClass 11 Mathematics Chapter 5 Complex Numbers And Quadratic Equations Quiz 1Class 11 Mathematics Chapter 5 Complex Numbers And Quadratic Equations Quiz 3Class 11 Mathematics Chapter 1 Sets QuizClass 11 Mathematics Chapter 10 Straight Lines QuizClass 11 Mathematics Chapter 11 Conic Sections QuizClass 11 Mathematics Chapter 12 Introduction To Three Dimensional Geometry QuizClass 11 Mathematics Chapter 13 Limits And Derivatives QuizClass 11 Mathematics Chapter 14 Mathematical Reasoning Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books