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JEE Main 2023 · 25 Jan · Shift 2

JEE Main 2023 Mathematics question on Conic Sections

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:
  1. A.
    4y2−18y−3x−18=04y^2 - 18y - 3x - 18 = 0
  2. B.
    4y2−18y+3x+18=04y^2 - 18y + 3x + 18 = 0
  3. C.
    4y2+18y+3x+18=04y^2 + 18y + 3x + 18 = 0
  4. D.
    4y2−18y−3x+18=04y^2 - 18y - 3x + 18 = 0
Show answer

Correct option: B

[JEE Main 2023 · 25 Jan · Shift 2]

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