JEE Main 30-Jan-2024 Shift 2 Solved Paper

Consider two circles C1:x2+y2=25 and C2:(x− α)2+y2=16, where α∈(5,9). Let the angle between the two radii (one to each circle) drawn from one of the intersection points of C1 and C2 be sin‌−1(‌

√63

8

). If the length of common chord of C1 and C2 is β, then the value of (αβ)2 equals ____