A series of hyperbola are drawn having a common transverse axis of length 2a. Prove that the lo...
176 views · Published 12 October 2018 · 4:05 · Indexed 22 September 2026
Channel: Doubtnut · 2018 · Education
To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW A series of hyperbola are drawn having a common transverse axis of length 2a. Prove that the locus of point P on each hyperbola, such that its distance from the transverse axis is equal to its distance from an asymptote, is the curve `(x^2-y^2)^2 =lambda x^2 (x^2-a^2), ` then `lambda` equals
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