jee-main 2023 Q72

jee-main · India · session1_25jan_shift2 Conic sections Locus and Trajectory Derivation

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 $y ^ { 2 } = 6 x$. 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) $4 y ^ { 2 } - 18 y - 3 x + 18 = 0$

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 $y ^ { 2 } = 6 x$. 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) $4 y ^ { 2 } - 18 y - 3 x + 18 = 0$

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