JEE Mains 13-Apr-2023 Shift 1 Solved Paper

Let m1, and m2 be the slopes of the tangents drawn from the point P(4,1) to the hyperbola H:‌

y2

25

−‌

x2

16

=1. If Q is the point from which the tangents drawn to H have slopes |m1| and |m2| and they make positive intercepts α and β on the x-axis, then ‌

(PQ)2

αβ

is equal to _______.