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Tangents at any point on the hyperbola ...

Tangents at any point on the hyperbola `x^2/a^2-y^2/b^2=1` cut the axes at A and B respectively, If the rectangle at OAPB (where O is origin) is completed then locus of point P is given by

A

`a^(2)/x^(2)-b^(2)/y^(2)=1`

B

`a^(2)/x^(2)+b^(2)/y^(2)=1`

C

`a^(2)/y^(2)-b^(2)/x^(2)=1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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