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P and Q are two points on the hyperbola x 2 /a 2 – y 2 /b 2 =1 such that PQ passes through the centre. For any other point R on the hyperbola,prove that the product of the slopes of PR and QR is b 2 /a 2.

P and Q are two points on the hyperbola x2 /a2 – y2/b2=1 such that PQ passes through the centre. For any other point R on the hyperbola,prove that the product of the slopes of PR and QR is b2/a2.

Grade:12

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
3 years ago
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