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

Question

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, I z = 0, R z 0 and I z > 0, R z > 0 and I z > 0, R z = - 3

MARKS App · Accepted Answer

Let α = 3 2 + i 2 , then z = α 5 + α ¯ 5 We know z ¯ n = z ¯ n , then, z = 2 R e α 5 Hence, I z = 0 .

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