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A(a,0)B(−a,0) are two points. If a point P moves such that PAB−PBA=2α then the locus of P is

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a

x2+2xytan2α−y2=a2

b

x2+2xycotα+y2=a2

c

x2−2xytan22α+y2=a2

d

x2+2xycot2α−y2=a2

answer is D.

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Detailed Solution

tanβ=ya−x tanγ=ya+x tan2α=tan(β−γ)

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