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Tangents are drawn from any point on the ellipse b^2x^2+a^2y^2=a^2b^2 to the circles x^2+y^2=r^2. Prove that the chord of contact are tangents to the ellipse a^2x^2+b^2y^2=r^4.

Tangents are drawn from any point on the ellipse b^2x^2+a^2y^2=a^2b^2 to the circles x^2+y^2=r^2. Prove that the chord of contact are tangents to the ellipse a^2x^2+b^2y^2=r^4.

Grade:11

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