Tangents to the hyperbola `x^2/a^2-y^2/b^2=1` make angle `theta_1,theta_2` with transverse

1,046 views · Published 13 October 2018 · 2:48 · Indexed 29 September 2026

Channel: Doubtnut · 2018 · Education

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To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW  Tangents to the hyperbola  `x^2/a^2-y^2/b^2=1` make angle  `theta_1,theta_2` with transverse axis of a hyperbola. Show that the point of intersection of these tangents lieson the curve `2xy=k(x^2-a^2)` when  `tantheta_1+tan theta_2=k`

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