1. Number of solutions to the equation (1 –i)^{x }= 2^{x} is :

(a) 1

(b) 2

(c) 3

(d) no solution

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

(a) π

(b) –π/4

(c) –π/2

(d) π/2

3. If ω is an imaginary cube root of unity, then (1 + ω – ω^{2})^{7} equals :

(a) 128 ω

(b) 128 ω^{2}

(c) -128 ω

(d) -128 ω^{2}

4. Value of ω^{1999} + ω^{299 }+ 1 is :

(a) 0

(b) 1

(c) -1

(d) 2

5. Principal argument of z = -√3+i is :

(a) 5π/6

(b) π/6

(c) -5π/6

(d) none

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