This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 5 Complex Numbers And Quadratic Equations – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 5 Complex Numbers And Quadratic Equations Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Identify the real part and the imaginary part of the complex number-10 + 4i. A) Real part 4; Imaginary part-10. B) Real part 10; Imaginary part 4. C) Real part-10; Imaginary part 4. D) Real part-10; Imaginary part-4. Show Answer Correct Answer: C) Real part-10; Imaginary part 4. 2. Factor3a$^{2}$ + 4a + 1 A) (3a-1)(a-1). B) Not factorable. C) (7a-10)(a-8). D) (3a+1)(a+1). Show Answer Correct Answer: D) (3a+1)(a+1). 3. The discriminant of a quadratic equation is $20.$ A) One complex solution. B) One real solution. C) Two complex solutions. D) Two real solutions. Show Answer Correct Answer: D) Two real solutions. 4. Use the Discriminant to determine the type of solutions:$-3x^2+7x-1=0$ A) 2 imaginary. B) 3 real. C) 1 real. D) 2 real. Show Answer Correct Answer: D) 2 real. 5. What letter represents an imaginary number? A) J. B) A. C) I. D) X. Show Answer Correct Answer: C) I. 6. What is the result of (1 + i)(1-i)? A) 0. B) -1. C) 1. D) 2. Show Answer Correct Answer: D) 2. 7. What is the result of multiplying (2 + 3i) by its conjugate? A) 0. B) 1. C) 13. D) 5. Show Answer Correct Answer: C) 13. 8. Compute (-2 + 4i) + (3-9i) and write the result in standard form a + bi. A) 1 + 13i. B) 1-5i. C) -1-13i. D) -5 + 1i. Show Answer Correct Answer: B) 1-5i. 9. What is the real part of the complex number z = 2 + 5i? A) 5. B) 7. C) 0. D) 2. Show Answer Correct Answer: D) 2. 10. What is the result of (2 + 3i) + (4-2i)? A) 6 + 5i. B) 6 + i1. C) 6 + i. D) 6-i. Show Answer Correct Answer: C) 6 + i. 11. What is the result of (2 + 3i) + (2-3i)? A) 2. B) 2 + 6i. C) 0. D) 4. Show Answer Correct Answer: D) 4. 12. Which of these describes the solution(s) to $x^2 + 6x + 8 = 0$ A) No real solutions. B) One real solution:x = 4. C) Two real solutions:x =-2 and x =-4. D) Two real solutions:x = 2 and x = 4. Show Answer Correct Answer: C) Two real solutions:x =-2 and x =-4. 13. What is the additive inverse of a complex number z? A) Z + (-z) = 0. B) Z + (-z) = z. C) Z + (-z) = 1. D) Z + (-z) =-1. Show Answer Correct Answer: A) Z + (-z) = 0. 14. Subtract. (4-2i)-(3 + 6i) A) 1-8i. B) 7-4i. C) 7-8i. D) 1 + 4i. Show Answer Correct Answer: A) 1-8i. 15. Compute i(2 + i) and write the result in standard form a + bi. A) -1 + 2i. B) 1 + 2i. C) -2 + i. D) -1-2i. Show Answer Correct Answer: A) -1 + 2i. 16. Solve6x$^{2}$ + 17x + 12 = 0 A) X =-4/3, x =-3/2. B) X = 9, x = 8. C) X =-4, x =-3. D) X = 4, x = 3. Show Answer Correct Answer: A) X =-4/3, x =-3/2. 17. What is the difference of the expression (4 + 4i)-(8-2i)? A) -4 + 2i. B) 12 + 2i. C) -4 + 6i. D) 12 + 6i. Show Answer Correct Answer: A) -4 + 2i. 18. Simplify $\sqrt{-81}$ A) $-9i^2$. B) $-9$. C) $9$. D) $9i$. Show Answer Correct Answer: D) $9i$. 19. Simplify $\sqrt{-99}$ A) $3i\sqrt{11}$. B) $3\sqrt{11}$. C) $-3\sqrt{11}$. D) $-3i\sqrt{11}$. Show Answer Correct Answer: D) $-3i\sqrt{11}$. 20. Which quadratic expression is written in standard form? A) $2x^3+5x-3$. B) $\left(2x-1\right)^2+3$. C) $5x^2-2x+1$. D) $\left(3x+1\right)\left(2x-5\right)$. Show Answer Correct Answer: C) $5x^2-2x+1$. 21. Compute (5 + 2i) + (3-2i) and write the result in standard form a + bi. A) 8 + 0i. B) 2 + 4i. C) 8 + 4i. D) 2 + 0i. Show Answer Correct Answer: A) 8 + 0i. 22. What is the factored form of x$^{2}$+16x+15 A) (x-3)(x-5). B) (x+1)(x+15). C) (x-1)(x+15). D) (x+3)(x+5). Show Answer Correct Answer: B) (x+1)(x+15). 23. Simplify(12-4i) + (-2 + 8i) A) 8 + 104i. B) 14-4i. C) 10-12i. D) 10 + 4i. Show Answer Correct Answer: D) 10 + 4i. 24. (5-2i) + (-7+8i) A) -2+6i. B) -35-16i. C) -35-16i$^{2}$. D) 12+6i. Show Answer Correct Answer: A) -2+6i. 25. Consider the equation:$x^2-2x+5=0$ A) The discriminant is undefined. B) There is one real solution. C) There are no real solutions. D) There are two real solutions. Show Answer Correct Answer: C) There are no real solutions. 26. The modulus of the complex number $z=-\sqrt{3}+i$ A) $2$. B) $4$. C) $-4$. D) $0$. Show Answer Correct Answer: A) $2$. 27. $\frac{-4+7i}{2i}$ A) $-4+7i$. B) $\frac{-3i}{2}$. C) $\frac{4i+7}{2}$. D) $\frac{-3+7i}{3}$. Show Answer Correct Answer: C) $\frac{4i+7}{2}$. 28. What is the difference of (5 + 3i) and (2 + 9i)? A) 7 + 12i. B) 7 + 6i. C) 3 + 6i. D) 3-6i. Show Answer Correct Answer: D) 3-6i. 29. $3\left(x+4\right)^2=81$ A) $x=-4\pm9\sqrt{3}$. B) $x=-4\pm3i$. C) $x=-4\pm9i$. D) $x=-4\pm3\sqrt{3}$. Show Answer Correct Answer: D) $x=-4\pm3\sqrt{3}$. 30. Simplify (11 + 5i)(11-5i) A) 146. B) 121-110i. C) 121-25i$^{2}$. D) 121 + 110i. Show Answer Correct Answer: A) 146. 31. Express the complex number in polar form.-2 + 5i A) $\sqrt{7}\left(\cos1.95-i\sin1.95\right)$. B) $\sqrt{29}\left(\cos1.95+i\sin1.95\right)$. C) $\sqrt{7}\left(\cos65.06-i\sin65.06\right)$. D) $\sqrt{29}\left(\cos65.06+i\sin65.06\right)$. Show Answer Correct Answer: B) $\sqrt{29}\left(\cos1.95+i\sin1.95\right)$. 32. What is the discriminant of the quadratic formula? A) B$^{2}$-4a. B) B$^{}$-4ac. C) B$^{2}$-ac. D) B$^{2}$-4ac. Show Answer Correct Answer: D) B$^{2}$-4ac. 33. What is the result of (3 + 4i)-(1 + 2i)? A) 2 + 2i. B) 2 + 6i. C) 4 + 2i. D) 4 + 6i. Show Answer Correct Answer: A) 2 + 2i. 34. Solve the quadratic equation:$x^2-5=-4$ A) $x=\\sqrt{9}, -\sqrt{9}$. B) $x=3, \-3$. C) $x=1, \-1$. D) No real solution. Show Answer Correct Answer: C) $x=1, \-1$. 35. Simplify $(4-3i)+(2-8i)$ A) $2-5i$. B) $2+5i$. C) $6+11i$. D) $6-11i$. Show Answer Correct Answer: D) $6-11i$. 36. Multiply:(4 + 8i)(1 + i) A) 12 + 4i. B) 12-4i. C) -4 + 12i. D) 4 + 12i. Show Answer Correct Answer: C) -4 + 12i. 37. $4i^3\left(3-2i^6\right)$ A) $12i^3-8i^9$. B) -8-12i. C) -20i. D) 12-8i. Show Answer Correct Answer: C) -20i. 38. Write in standard form:$\left(2x-3\right)^2+5$ A) $4x^2-12x+14$. B) 4x2-12x+14 Mathematical EquivalenceOFF. C) All the above. D) None of the above. Show Answer Correct Answer: A) $4x^2-12x+14$. 39. What is the multiplicative identity of a complex number? A) 0 + i0. B) 1. C) I. D) 1 + i0. Show Answer Correct Answer: D) 1 + i0. 40. What is the result of dividing (3 + 2i) by (1-i)? A) 5-i. B) 1-5i. C) 1 + 5i. D) 5 + i. Show Answer Correct Answer: C) 1 + 5i. 41. Solve:(x + 6)$^{2}$ = 1 A) -5, -7. B) 5, -7. C) 5, 7. D) -5, 7. Show Answer Correct Answer: A) -5, -7. 42. What is the sum of the expression (8 + 4i) + (6-3i)? A) 14 + 7i. B) 2 + i. C) 14 + i. D) 2 + 7i. Show Answer Correct Answer: A) 14 + 7i. 43. What is the sum of the expression (8 + 6i) + (4 + 2i)? A) 4 + 4i. B) 12 + 4i. C) 4 + 8i. D) 12 + 8i. Show Answer Correct Answer: D) 12 + 8i. 44. Number of solutions of the equation z$^{2}$ + |z|$^{2}$ = 0 is A) 2. B) 1. C) Infinitely many. D) 3. Show Answer Correct Answer: C) Infinitely many. 45. What is the additive inverse of the complex number z = 4 + 5i? A) -4 + 5i. B) 4-5i. C) 4 + 5i. D) -4-5i. Show Answer Correct Answer: D) -4-5i. 46. $\left(3-4i\right)\left(5+6i\right)$ A) 39 +38i. B) 9-2i. C) $15\-2i\-24i^2$. D) 39-2i. Show Answer Correct Answer: D) 39-2i. 47. Find the sum.(5-2i) + (-7+8i) A) -2+6i. B) 12+6i. C) -35-16i$^{2}$. D) -35-16i. Show Answer Correct Answer: A) -2+6i. 48. Which of the following is equivalent to i$^{4}$? A) 1. B) -1. C) I. D) -1. Show Answer Correct Answer: A) 1. 49. Let z = 3 + 4i and w =-1 + 2i. What is z + w in standard form? A) 2 + 6i. B) 2-6i. C) -4 + 6i. D) 4 + 2i. Show Answer Correct Answer: A) 2 + 6i. 50. Let $w=-\frac{\sqrt{3}}{2}+\frac{1}{2}i$ A) 3, $\frac{2}{3}\pi$. B) 5, $\frac{3}{2}\pi$. C) 1, $\frac{5}{6}\pi$. D) Not Possible. Show Answer Correct Answer: C) 1, $\frac{5}{6}\pi$. 51. If z =-6-2i, which expression equals its conjugate? A) 6 + 2i. B) 6-2i. C) -2-6i. D) -6 + 2i. Show Answer Correct Answer: D) -6 + 2i. 52. The multiplicative inverse of $-i$ A) $i$. B) $-i$. C) $i^2$. D) $1$. Show Answer Correct Answer: A) $i$. 53. What is the additive identity for complex numbers? A) 0 + 1i. B) 1 + 1i. C) 1 + 0i. D) 0 + 0i. Show Answer Correct Answer: D) 0 + 0i. 54. The value of 1 + i$^{2}$ + i$^{4}$ + i$^{6}$ + ..... + i$^{2n}$ is A) Positive. B) Negative. C) 0. D) Cannot be evaluated. Show Answer Correct Answer: D) Cannot be evaluated. 55. Which of these describes the solution(s) to $150x^2 + x = 0$ A) One real solution:x = 1/150. B) One real solution:x =-1/150. C) Two real solutions:x = 0 and x = 1/150. D) Two real solutions:x = 0 and x =-1/150. Show Answer Correct Answer: C) Two real solutions:x = 0 and x = 1/150. 56. What is the discriminant $\left(b^2-4ac\right)$ $-3x^2 + 5x-11 = 0$ A) -10.34. B) 107. C) -107. D) 10.34i. Show Answer Correct Answer: C) -107. 57. Factor3v$^{2}$-4v-7 A) (3v+1)(v-9). B) (3v-7)(v+1). C) (3v+1)(v-10). D) 3(v-7)(v-1). Show Answer Correct Answer: B) (3v-7)(v+1). 58. What is the standard form for a complex number? A) A + bi. B) -8i + 8. C) Bi + a. D) -8i. Show Answer Correct Answer: A) A + bi. 59. Which of the following is true about the multiplication of complex numbers? A) It is commutative. B) It is not associative. C) It does not have an identity. D) It is not distributive. Show Answer Correct Answer: A) It is commutative. 60. What is the result of (1 + 2i)(1 + 2i)? A) 1 + 4i. B) 1-4i. C) -3 + 4i. D) -3-4i. Show Answer Correct Answer: C) -3 + 4i. 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