jee-main 2017 Q72

jee-main · India · 09apr Conic sections Tangent and Normal Line Problems

The eccentricity of an ellipse whose centre is at the origin is $\frac { 1 } { 2 }$. If one of its directrices is $x = - 4$, then the equation of the normal to it at $\left( 1 , \frac { 3 } { 2 } \right)$ is:
(1) $4 x - 2 y = 1$
(2) $4 x + 2 y = 7$
(3) $x + 2 y = 4$
(4) $2 y - x = 2$

The eccentricity of an ellipse whose centre is at the origin is $\frac { 1 } { 2 }$. If one of its directrices is $x = - 4$, then the equation of the normal to it at $\left( 1 , \frac { 3 } { 2 } \right)$ is:\\
(1) $4 x - 2 y = 1$\\
(2) $4 x + 2 y = 7$\\
(3) $x + 2 y = 4$\\
(4) $2 y - x = 2$

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