Let z = (√3/2 + i/2)⁵ + (√3/2 – i/2)⁵.If R(z) and I(z) respectively denote the real and imaginary parts of z, then :
(A) I(z) = 0 (B) R(z) > 0 and I(z) > 0
(C) R(z) < 0 an I(z) > 0 (D) R(z) = –3
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Answer:
Here R(z)= -√3 and I(z)=0
Therefore, Option (A) is correct.
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