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1. The value of i^12, where i = √(-1), is

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

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2. If z = 3 + 4i, then |z| is

A. 3 B. 4 C. 5 D. 7

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3. The polar form of the complex number -1 + √3i is

A. 2(cos π/3 + i sin π/3) B. 2(cos 2π/3 + i sin 2π/3) C. 2(cos 4π/3 + i sin 4π/3) D. 2(cos 5π/3 + i sin 5π/3)

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4. If α and β are roots of x^2 - 6x + 9 = 0, then the quadratic equation has

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

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5. The sum of the roots of the quadratic equation x^2 - 4x + 4 = 0 is

A. 4 B. -4 C. 2 D. 0

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6. The product of the roots of the quadratic equation x^2 + 5x + 6 = 0 is

A. 5 B. 6 C. 30 D. -6

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7. If z1 = 2 + i and z2 = 2 - i, then z1z2 is

A. 3 B. 4 C. 5 D. 6

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8. The cube roots of unity are given by the equation

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

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9. If |z| = 2, then z lies on

A. a line B. a parabola C. a circle of radius 2 D. a circle of radius 4

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10. The discriminant of the quadratic equation x^2 + 4x + 5 = 0 is

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

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11. The roots of x^2 - 7x + 12 = 0 are

A. 2 and 6 B. 3 and 4 C. 7 and 5 D. none of these

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12. The equation x^2 + 1 = 0 has

A. real roots B. complex roots C. no roots D. repeated roots

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13. If z = 4(cos π/6 + i sin π/6), then Re(z) is

A. 2 B. 3 C. 4 D. 2√3

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14. The quadratic equation x^2 + 2x + 1 = 0 represents

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

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15. The argument of z = -1 + i is

A. π/4 B. 3π/4 C. π/2 D. π

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16. If α and β are roots of x^2 - px + q = 0, then α + β is equal to

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

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17. If ω is a cube root of unity, then 1 + ω + ω^2 is equal to

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

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18. The modulus of the complex number z = 5i is

A. 0 B. 1 C. 5 D. -5

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19. The roots of the quadratic equation x^2 - 2x + 5 = 0 are

A. real and equal B. real and distinct C. complex D. none of these

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20. The value of i^8 is

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