A(a,0) , B(-a,0) are two point . If a po...

A(a,0) , B(-a,0) are two point . If a point P moves such that `anglePAB - anglePBA = 2alpha` then find the locus of P .

A

`x^(2)+y^(2)+2xy cot2alpha=a^(2)`

B

`x^(2)-y^(2)+2xy tan 2alpha=a^(2)`

C

`x^(2)+y^(2)-2xy tan 2alpha=a^(2)`

D

`x^(2)-y^(2)+2xy cot2alpha=a^(2)`

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The correct Answer is:

D

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