1.

Prove that the point of intersection of two perpendicular tangents tot he hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)) = 1 lies on the circle x^(2) + y^(2) = a^(2) - b^(2)

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ANSWER :`X^(2) + y^(2) = a^(2) - B^(2)`


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