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Parabola question

2023 · 25 Jan · Shift 2 · Q22
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  5. /2023 · 25 Jan · Shift 2 · Q22

Parabola question

2023 · 25 Jan · Shift 2 · Q22

JEE MainMathematicsParabolaMCQ+4 / −1
The equations of two sides of a variable triangle are x=0x=0x=0 and y=3y=3y=3, and its third side is a tangent to the parabola y2=6xy^2=6xy2=6x. The locus of its circumcentre is :
  1. A
    4y2−18y−3x−18=04{y^2} - 18y - 3x - 18 = 04y2−18y−3x−18=0
  2. B
    4y2+18y+3x+18=04{y^2} + 18y + 3x + 18 = 04y2+18y+3x+18=0
  3. C
    4y2−18y+3x+18=04{y^2} - 18y + 3x + 18 = 04y2−18y+3x+18=0
  4. D
    4y2−18y−3x+18=04{y^2} - 18y - 3x + 18 = 04y2−18y−3x+18=0
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