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MCQMediumJEE Main 2023 · 13 April, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Mathematics Question from JEE Main 2023 · 13 April, Shift 2

Let (α,β)(\alpha, \beta) be the centroid of the triangle formed by the lines 15x−y=8215x - y = 82, 6x−5y=−46x - 5y = -4 and 9x+4y=179x + 4y = 17. Then α+2β\alpha + 2\beta and 2α−β2\alpha - \beta are the roots of the equation:

  • A

    x2−13x+42=0x^2 - 13x + 42 = 0

  • B

    x2−10x+25=0x^2 - 10x + 25 = 0

  • C

    x2−7x+12=0x^2 - 7x + 12 = 0

  • D

    x2−14x+48=0x^2 - 14x + 48 = 0

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