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From a point P, two tangents PA and PB are drawn to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`. If these tangents cut the coordinates axes at 4 concyclic points, then the locus of P is

A

`x^(2)-y^(2)=|a^(2-b^(2)|`

B

`x^(2)-y^(2)=a^(2)+b^(2)`

C

`x^(2)+y^(2)=|a^(2)-b^(2)|`

D

`x^(2)+y^(2)=a^(2)+b^(2)`

Text Solution

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The correct Answer is:
B
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