jee-main 2020 Q57

jee-main · India · session2_04sep_shift2 Conic sections Tangent and Normal Line Problems

Let $x = 4$ be a directrix to an ellipse whose centre is at the origin and its eccentricity is $\frac { 1 } { 2 }$. If $P ( 1 , \beta ) , \beta > 0$ is a point on this ellipse, then the equation of the normal to it at $P$ is
(1) $4 x - 3 y = 2$
(2) $8 x - 2 y = 5$
(3) $7 x - 4 y = 1$
(4) $4 x - 2 y = 1$

Let $x = 4$ be a directrix to an ellipse whose centre is at the origin and its eccentricity is $\frac { 1 } { 2 }$. If $P ( 1 , \beta ) , \beta > 0$ is a point on this ellipse, then the equation of the normal to it at $P$ is\\
(1) $4 x - 3 y = 2$\\
(2) $8 x - 2 y = 5$\\
(3) $7 x - 4 y = 1$\\
(4) $4 x - 2 y = 1$

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