jee-main 2012 Q71

jee-main · India · 26may Conic sections Chord Properties and Midpoint Problems

The chord $PQ$ of the parabola $y ^ { 2 } = x$, where one end $P$ of the chord is at point $( 4 , - 2 )$, is perpendicular to the axis of the parabola. Then the slope of the normal at $Q$ is
(1) $-4$
(2) $- \frac { 1 } { 4 }$
(3) $4$
(4) $\frac { 1 } { 4 }$

The chord $PQ$ of the parabola $y ^ { 2 } = x$, where one end $P$ of the chord is at point $( 4 , - 2 )$, is perpendicular to the axis of the parabola. Then the slope of the normal at $Q$ is\\
(1) $-4$\\
(2) $- \frac { 1 } { 4 }$\\
(3) $4$\\
(4) $\frac { 1 } { 4 }$

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