MCQMediumJEE Main 2025 · 2 April, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

Mathematics Question from JEE Main 2025 · 2 April, Shift 1

Let the focal chord PQPQ of the parabola y2=4xy^2 = 4x make an angle of 6060^\circ with the positive x-axis, where PP lies in the first quadrant. If the circle, whose one diameter is PSPS, SS being the focus of the parabola, touches the y-axis at the point (0,α)(0, \alpha), then 5α25\alpha^2 is equal to:

  • A

    1515

  • B

    2525

  • C

    3030

  • D

    2020

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