jee-main 2017 Q69

jee-main · India · 02apr Conic sections Tangent and Normal Line Problems

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

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

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