Let the product of the focal distances of the point (4, 2 3) on the hyperbola H : x^2 a^2 - y^2 b^2 =1 be 32....

Question

Let the product of the focal distances of the point (4, 2 3) on the hyperbola H : x^2 a^2 - y^2 b^2 =1 be 32. Let the length of the conjugate axis of H be p and the length of its latus rectum be q. Then p^2+q^2 is equal to _____

Accepted Answer

120

JEE Main 2025 Mathematics question

Solution