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The points on the standard hyperbola (x^2÷a^2) -(y^2÷b^2) = 1 from where mutually perpendicular tangents can be drawn to the circle x^2 + y^2 = a^2 ???

The points on the standard hyperbola (x^2÷a^2) -(y^2÷b^2) = 1 from where mutually perpendicular tangents can be drawn to the circle x^2 + y^2 = a^2 ???

Grade:10

1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
7 years ago
Hii

Just take the general points as asectheta and btanthetha and this point must lie on the director circle of this circle.

You will get the value of thetha and finally the points that you are looking for.

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