MCQMediumJEE Main 2023 · 25 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Mathematics Question from JEE Main 2023 · 25 January, Shift 2

The equations of two sides of a variable triangle are x=0x = 0 and y=3y = 3, and its third side is a tangent to the parabola y2=6xy^2 = 6x. The locus of its circumcentre is:

  • A

    4y218y3x18=04y^2 - 18y-3x - 18 = 0

  • B

    4y2+18y+3x+18=04y^2 + 18y + 3x + 18 = 0

  • C

    4y218y+3x+18=04y^2 - 18y + 3x + 18 = 0

  • D

    4y218y3x+18=04y^2 - 18y - 3x + 18 = 0

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