JEE Main 2 Apr 2025 Shift 1 Paper

Let the focal chord PQ of the parabola y2=4x make an angle of 60∘ with the positive x-axis, where P lies in the first quadrant. If the circle, whose one diameter is PS,S being the focus of the parabola, touches the y-axis at the point (0,α), then 5α2 is equal to: