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Complex Numbers question

2019 · 10 Jan · Shift 2 · Q28
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Complex Numbers question

2019 · 10 Jan · Shift 2 · Q28

JEE MainMathematicsComplex NumbersMCQ+4 / −1
Let 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 :
  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
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