1. If {(1 + i)/(1 – i)}ⁿ = 1 then the least value of n is

2. if x + 1/x = 1 find the value of x²⁰⁰⁰ + 1/x²⁰⁰⁰ is

3. The polar form of -1 + i is

4. The number of the integer solutions of x2 + 9 < (x + 3)2 < 8x + 25 is

5. (1 – w + w²)×(1 – w² + w⁴)×(1 – w⁴ + w⁸) × …………… to 2n factors is equal to

6. The modulus of 5 + 4i is

7. If arg (z) < 0, then arg (-z) – arg (z) =

8. The complex numbers sin x + i cos 2x are conjugate to each other for

9. The value of x and y if (3y – 2) + i(7 – 2x) = 0

10. If the cube roots of unity are 1, ω, ω², then the roots of the equation (x – 1)³ + 8 = 0 are

11. The value of (1 – i)² is

12. The set of all solutions of the inequality (1/2)x²-2x < 1/4 contains the set

13. Find real θ such that (3 + 2i × sin θ)/(1 – 2i × sin θ) is imaginary

14. The curve represented by Im(z²) = k, where k is a non-zero real number, is

15. The value of √(-144) is