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The chord of the hyperbola x^(2)/a^(2)-y...

The chord of the hyperbola `x^(2)/a^(2)-y^(2)/b^(2)=1`, whose equation is `x cos alpha +y sin alpha =p`, subtends a right angle at its centre. Prove that it always touches a circle of radius `(ab)/sqrt(a^(2)-b^(2))`

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The correct Answer is:
`(ab)/sqrt(a^(2)-b^(2))^(2)`
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