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MCQMediumJEE Main 2025 · 23 January, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

Mathematics Question from JEE Main 2025 · 23 January, Shift 1

If the line 3x−2y+12=03x - 2y + 12 = 0 intersects the parabola 4y=3x24y = 3x^2 at the points A and B, then at the vertex of the parabola, the line segment AB subtends an angle equal to:

  • A

    tan⁡−1(119)\tan^{-1} \left(\frac{11}{9} \right)

  • B

    π2−tan⁡−1(32)\frac{\pi}{2} - \tan^{-1} \left(\frac{3}{2} \right)

  • C

    tan⁡−1(45)\tan^{-1} \left(\frac{4}{5} \right)

  • D

    tan⁡−1(97)\tan^{-1} \left(\frac{9}{7} \right)

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