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

1. 4 y 2 + 18 y + 3 x + 18 = 0
2. 4 y 2 – 18 y – 3 x – 18 = 0
3. 4 y 2 – 18 y + 3 x + 18 = 0
4. 4 y 2 – 18 y – 3 x + 18 = 0

Correct answer: 4 y 2 – 18 y + 3 x + 18 = 0

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