Mathematics · 2021
JEE Main · 27 July 2021, Shift 1 · Q76
A ray of light through (2,1) is reflected at a point P on the y -axis and then passes through the point (5, 3). If this reflected ray is the…
A ray of light through $\displaystyle (2,1)$ is reflected at a point $\displaystyle P$ on the $\displaystyle y$-axis and then passes through the point $\displaystyle (5, 3)$. If this reflected ray is the directrix of an ellipse with eccentricity $\displaystyle \frac{1}{3}$ and the distance of the nearer focus from this directrix is $\displaystyle \frac{8}{\sqrt{53}}$, then the equation of the other directrix can be :
Official answer
(3)
$\displaystyle 2 x-7 y+29=0 \text { or } 2 x-7 y-7=0$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.