jee-main 2022 Q65

jee-main · India · session1_26jun_shift1 Circles Tangent Lines and Tangent Lengths

Let the normal at the point $P$ on the parabola $y ^ { 2 } = 6 x$ pass through the point $( 5 , - 8 )$. If the tangent at $P$ to the parabola intersects its directrix at the point $Q$, then the ordinate of the point $Q$ is
(1) $\frac { - 9 } { 4 }$
(2) $\frac { 9 } { 4 }$
(3) $\frac { - 5 } { 2 }$
(4) $- 3$

Let the normal at the point $P$ on the parabola $y ^ { 2 } = 6 x$ pass through the point $( 5 , - 8 )$. If the tangent at $P$ to the parabola intersects its directrix at the point $Q$, then the ordinate of the point $Q$ is\\
(1) $\frac { - 9 } { 4 }$\\
(2) $\frac { 9 } { 4 }$\\
(3) $\frac { - 5 } { 2 }$\\
(4) $- 3$

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