JEE Main 9 Apr 2024 Shift 2 Solved Paper

Consider the circle C:x2+y2=4 and the parabola P:y2=8x. If the set of all values of α, for which three chords of the circle C on three distinct lines passing through the point (α,0) are bisected by the parabola P is the interval (p,q), then (2q−p)2 is equal to ______.