Mathematics · 2019
JEE Main · 11 January 2019, Shift 1 · Q82
If tangents are drawn to the ellipse x^2+2 y^2=2 at all points on the ellipse other than its four vertices then the mid points of the tangents…
If tangents are drawn to the ellipse $\displaystyle x^2+2 y^2=2$ at all points on the ellipse other than its four vertices then the mid points of the tangents intercepted between the coordinate axes lie on the curve :
Official answer
(1)
$\displaystyle \frac{1}{2 x^2}+\frac{1}{4 y^2}=1$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.