MCQMediumJEE Main 2023 · 12 April, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

Mathematics Question from JEE Main 2023 · 12 April, Shift 1

If the point (α,733)\left(\alpha, \frac{7\sqrt{3}}{3}\right) lies on the curve traced by the mid-points of the line segments of the lines xcos⁡θ+ysin⁡θ=7x\cos\theta + y\sin\theta = 7, θ∈(0,π2)\theta \in \left(0, \frac{\pi}{2}\right), between the co-ordinate axes, then α\alpha is equal to:

  • A

    77

  • B

    −7-7

  • C

    −73-7\sqrt{3}

  • D

    737\sqrt{3}

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