JEE Main 201910 Jan, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002Let z=(32+i2)5+(32−i2)5.z = {\left( {{{\sqrt 3 } \over 2} + {i \over 2}} \right)^5} + {\left( {{{\sqrt 3 } \over 2} - {i \over 2}} \right)^5}.z=(23+2i)5+(23−2i)5. If R(z) and 1(z) respectively denote the real and imaginary parts of z, then :AOption A. R(z) = −-− 3BOption B. R(z) < 0 and I(z) > 0COption C. I(z) = 0DOption D. R(z) > 0 and I(z) > 0CheckSkip · show solution