Parabola Focal Chord Circle Tangent (Jee Mains)

Parabola

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Parabola Focal Chord Circle Tangent

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 :

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