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

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

A

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

B

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

C

`x^(2)+y^(2)+2ytanalpha=1`

D

`x^(2)+y^(2)+2xsinx2alpha=1`

Text Solution

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