1. The curve represented by Im(z²) = k, where k is a non-zero real number, is
2. The value of x and y if (3y – 2) + i(7 – 2x) = 0
3. Find real θ such that (3 + 2i × sin θ)/(1 – 2i × sin θ) is imaginary
4. If {(1 + i)/(1 – i)}n = 1 then the least value of n is
5. If arg (z) < 0, then arg (-z) – arg (z) =
6. if x + 1/x = 1 find the value of x2000 + 1/x2000 is
7. The value of √(-144) is
8. If the cube roots of unity are 1, ω, ω², then the roots of the equation (x – 1)³ + 8 = 0 are
9. (1 – w + w²)×(1 – w² + w4)×(1 – w4 + w8) × …………… to 2n factors is equal to
10. The modulus of 5 + 4i is