If a variable tangent of the hyperbola 9 x 2 − 4 y 2 = 1 , cuts the circle x 2 + y 2 = 4 at point A , B and locus of mid point of AB is 9 x 2 − 4 y 2 − λ ( x 2 + y 2 ) 2 = 0 then λ is … .

Question

If a variable tangent of the hyperbola 9 x 2 ​ − 4 y 2 ​ = 1 , cuts the circle x 2 + y 2 = 4 at point A , B and locus of mid point of AB is 9 x 2 − 4 y 2 − λ ( x 2 + y 2 ) 2 = 0 then λ is … .

TestHub · Accepted Answer

Equation of chord of circle with mid point ( h , k ) is xh + xk = h 2 + k 2 or y = ( k − h ​ ) x + k h 2 + k 2 ​ , it touches the hyperbola

Mathematics - Parabola Question with Solution | TestHub

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