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Tangents are drawn from any point on the...

Tangents are drawn from any point on the hyperbola `(x^2)/9-(y^2)/4=1` to the circle `x^2+y^2=9` . Find the locus of the midpoint of the chord of contact.

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The correct Answer is:
`(x^2)/(9)-(y^2)/(4)=((x^2+y^2)^2)/(81)`
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