JEE Math Practice Question

Let $$z = {\left( {{{\sqrt 3 } \over 2} + {i \over 2}} \right)^5} + {\left( {{{\sqrt 3 } \over 2} - {i \over 2}} \right)^5}.$$ If R(z) and 1(z) respectively denote the real and imaginary parts of z, then :

1. A.R(z) = $$-$$ 3
2. B.R(z) < 0 and I(z) > 0
3. C.I(z) = 0
4. D.R(z) > 0 and I(z) > 0