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JEE Math Practice Question

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

  1. A.$$4{y^2} - 18y - 3x - 18 = 0$$
  2. B.$$4{y^2} + 18y + 3x + 18 = 0$$
  3. C.$$4{y^2} - 18y + 3x + 18 = 0$$
  4. D.$$4{y^2} - 18y - 3x + 18 = 0$$

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