jee-main 2012 Q72

jee-main · India · 26may Conic sections Circle-Conic Interaction with Tangency or Intersection

The normal at $\left( 2 , \frac { 3 } { 2 } \right)$ to the ellipse, $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 3 } = 1$ touches a parabola, whose equation is
(1) $y ^ { 2 } = - 104 x$
(2) $y ^ { 2 } = 14 x$
(3) $y ^ { 2 } = 26 x$
(4) $y ^ { 2 } = - 14 x$

The normal at $\left( 2 , \frac { 3 } { 2 } \right)$ to the ellipse, $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 3 } = 1$ touches a parabola, whose equation is\\
(1) $y ^ { 2 } = - 104 x$\\
(2) $y ^ { 2 } = 14 x$\\
(3) $y ^ { 2 } = 26 x$\\
(4) $y ^ { 2 } = - 14 x$

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