Tangents are drawn from any point on the hyperbola 9x2−4y2=1 to the circle x2+y2=9 . Find the locus of the midpoint of the chord of contact.

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Question

Tangents are drawn from any point on the hyperbola $\frac{x ^{2}}{9} - \frac{y ^{2}}{4} = 1$ to the circle $x^{2} + y^{2} = 9$ . Find the locus of the midpoint of the chord of contact.

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Tangents are drawn from any point on the hyperbola

\frac{x ^{2}}{9} - \frac{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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Question Text

Tangents are drawn from any point on the hyperbola

\frac{x ^{2}}{9} - \frac{y ^{2}}{4} = 1

to the circle

x^{2} + y^{2} = 9

. Find the locus of the midpoint of the chord of contact.