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MCQMediumJEE Main 2023 · 24 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Mathematics Question from JEE Main 2023 · 24 January, Shift 2

The equations of the sides AB and AC of a triangle ABC are: (λ+1)x+λy=4andλx+(1−λ)y+λ=0,(\lambda + 1)x + \lambda y = 4 \quad \text{and} \quad \lambda x + (1 - \lambda)y + \lambda = 0, respectively. Its vertex A is on the y-axis and its orthocentre is (1,2)(1, 2). The length of the tangent from the point C to the part of the parabola y2=6xy^2 = 6x in the first quadrant is:

  • A

    6\sqrt{6}

  • B

    222\sqrt{2}

  • C

    22

  • D

    44

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