---

1. The value of i^6, where i = √(-1), is

A. 1 B. i C. -1 D. -i

---

2. The modulus of the complex number 6 - 8i is

A. 6 B. 8 C. 10 D. 14

---

3. The conjugate of the complex number 7 + 4i is

A. 7 - 4i B. -7 + 4i C. 7 + 4i D. -7 - 4i

---

4. If z1 = 3 + i and z2 = 1 - 2i, then z1 + z2 is

A. 4 - i B. 2 - i C. 4 - 3i D. 4 + 3i

---

5. The polar form of the complex number -√3 + i is

A. 2(cos π/6 + i sin π/6) B. 2(cos 5π/6 + i sin 5π/6) C. 2(cos 7π/6 + i sin 7π/6) D. 2(cos 11π/6 + i sin 11π/6)

---

6. The roots of the quadratic equation x^2 - 2x + 1 = 0 are

A. 1 and 1 B. 1 and -1 C. -1 and -1 D. none of these

---

7. The discriminant of the quadratic equation x^2 + 2x + 3 = 0 is

A. 4 B. -8 C. -12 D. -16

---

8. The sum of the roots of the quadratic equation x^2 + px + q = 0 is

A. p B. q C. -p D. -q

---

9. The product of the roots of the quadratic equation 2x^2 + 5x + 3 = 0 is

A. 2/3 B. 3/2 C. 5/2 D. 5/3

---

10. The equation z^2 + 1 = 0 has roots

A. ±1 B. 0 C. ±i D. no roots

---

11. If |z| = 3, then z lies on

A. a straight line B. a parabola C. a circle of radius 3 D. a circle of radius 9

---

12. The cube roots of unity satisfy

A. z^3 = 1 B. z^2 = 1 C. z^3 + 1 = 0 D. z^2 + 1 = 0

---

13. If z = 2(cos π/4 + i sin π/4), then Re(z) is

A. √2 B. 2/√2 C. 1 D. √3

---

14. The roots of x^2 - 5x + 6 = 0 are

A. 2 and 3 B. 3 and 4 C. 1 and 5 D. none of these

---

15. The modulus of 4(cos π/3 + i sin π/3) is

A. 4 B. √2 C. 2 D. 8

---

16. The roots of x^2 + 2x + 5 = 0 are

A. real and equal B. real and distinct C. complex D. no roots

---

17. The value of ω^2 + ω + 1, where ω is a cube root of unity, is

A. 0 B. 1 C. -1 D. 2

---

18. If z1 = 2 + 3i and z2 = 4 - 3i, then z1z2 is

A. 17 - i B. 17 + i C. 14 - i D. 14 + i

---

19. The argument of z = -1 - i is

A. π/4 B. 3π/4 C. 5π/4 D. 7π/4

---

20. The quadratic equation x^2 + 4x + 4 = 0 has

A. real and equal roots B. real and distinct roots C. complex roots D. no roots