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MCQMediumJEE Main 2026 · 23 January, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

Mathematics Question from JEE Main 2026 · 23 January, Shift 1

Let the line y−x=1y - x = 1 intersect the ellipse x22+y21=1\frac{x^2}{2} + \frac{y^2}{1} = 1 at the points A and B. Then the angle made by the line segment AB at the center of the ellipse is:

  • A

    π2−tan⁡−1(14)\frac{\pi}{2} - \tan^{-1}\left(\frac{1}{4}\right)

  • B

    π2+2tan⁡−1(14)\frac{\pi}{2} + 2 \tan^{-1}\left(\frac{1}{4}\right)

  • C

    π2+tan⁡−1(14)\frac{\pi}{2} + \tan^{-1}\left(\frac{1}{4}\right)

  • D

    π−tan⁡−1(14)\pi - \tan^{-1}\left(\frac{1}{4}\right)

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