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From a point on the circle x^2 + y^2 = a^2, tangents are drawn to the hyperbola x^2 - y^2 = a^2. Prove that the locus of the middle point of the chord of contact is ( x^2 - y^2) ^2 = a^2( x^2 + y^2)

From a point on the circle x^2 + y^2 = a^2, tangents are drawn to the hyperbola x^2 - y^2 = a^2. Prove that the locus of the middle point of the chord of contact is ( x^2 - y^2) ^2 = a^2( x^2 + y^2)

Grade:12

1 Answers

Anish Singhal
askIITians Faculty 1192 Points
5 years ago
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