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If alpha+ibeta=tan^(-1)z, z=x+iy and alp...

If `alpha+ibeta=tan^(-1)z`, `z=x+iy` and `alpha` is constant, then locus of z is:

A

`x^(2)+y^(2)+2 x cot 2 alpha=1`

B

`cot 2 alpha(x^(2)+y^(2))=1+x`

C

`x^(2)+y^(2)+2 y tan 2 alpha=1`

D

`x^(2)+y^(2)+2 x sin 2 alpha=1`

Text Solution

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The correct Answer is:
A
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