If z= (1+x i)^(n) is a complex number su...

If `z= (1+x i)^(n)` is a complex number such that its real and imaginary parts are equal where `x in R, n in I^(+)` then possible values of x are

A

A) `x= "tan"(pi)/(n)`

B

B) `x= "tan"(pi)/(2n)`

C

C) `x="tan"(pi)/(4n)`

D

D) `x= "tan"(3pi)/(2n)`

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The correct Answer is:

C

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