1. The value of i2 is
Answer: B. −1
35 multiple choice questions with the correct answer for each. Tap an option to check yourself, or switch on "Show all answers".
1. The value of i2 is
Answer: B. −1
2. √(−9) is equal to
Answer: C. 3i
3. The value of i7 is
Answer: D. −i
4. The value of i10 is
Answer: A. −1
5. The value of 1/i is
Answer: C. −i
6. (2 + 3i) + (4 − 5i) equals
Answer: B. 6 − 2i
7. (3 + 2i)(3 − 2i) equals
Answer: A. 13
8. (1 + i)2 equals
Answer: D. 2i
9. The conjugate of 5 − 7i is
Answer: A. 5 + 7i
10. The modulus |3 + 4i| is equal to
Answer: B. 5
11. (2 + i)(1 − i) equals
Answer: D. 3 − i
12. The multiplicative inverse of 3 + 4i is
Answer: C. (3 − 4i)/25
13. The additive inverse of −4 + 5i is
Answer: D. 4 − 5i
14. If a + bi = 3 − 2i, then the values of a and b are
Answer: A. a = 3, b = −2
15. The real part of (1 + 2i)(3 − i) is
Answer: C. 5
16. (2 + 3i)/(1 + i) equals
Answer: B. (5 + i)/2
17. √(−5) × √(−20) equals
Answer: D. −10
18. The modulus of −5 + 12i is
Answer: B. 13
19. If z = a + bi, then z + z̄ is equal to
Answer: C. 2a
20. If z = a + bi, then z · z̄ is equal to
Answer: A. a² + b²
21. Which of the following is a pure imaginary number?
Answer: D. −7i
22. The solution set of x² + 9 = 0 is
Answer: A. {3i, −3i}
23. a² + b² can be factorized over complex numbers as
Answer: C. (a + bi)(a − bi)
24. The value of i21 is
Answer: B. i
25. The point (−3, 2) in the Argand plane represents the complex number
Answer: B. −3 + 2i
26. The complex number −3 + 2i lies in the
Answer: D. second quadrant
27. The number 6 written as a complex number is
Answer: C. 6 + 0i
28. (2 − 3i)2 equals
Answer: A. −5 − 12i
29. If (x + 2) + (y − 1)i = 5 + 3i, then the values of x and y are
Answer: B. x = 3, y = 4
30. (5 + 2i) − (3 − 4i) equals
Answer: A. 2 + 6i
31. √(−16) equals
Answer: C. 4i
32. A complex number whose imaginary part is zero is a
Answer: D. real number
33. If z = 3 − 4i, then |z| equals
Answer: D. 5
34. The conjugate of the conjugate of z is
Answer: C. z
35. For z₁ = 1 + i and z₂ = 1 − i, the product z₁z₂ is
Answer: B. 2
These 35 Mathematics MCQs cover Class 10 Unit 1: Complex Numbers of the Federal Board (FBISE) SSC-II (Class 10) syllabus. They are SLO-based MCQs as per the new pattern for FBISE exams. Each question has four options and the correct answer is shown, so you can practise for the annual examination and find the topics you still need to revise. Download the Complex Numbers MCQs as a PDF using the button at the top of this page.