Mathematics · 2026
JEE Main · 21 January 2026, Shift 2 · Q13
If the line α x+4 y=√ 7, where α ∈ R, touches the ellipse 3 x^2+4 y^2=1 at the point P in the first quadrant, then one of the focal distances of P is:
If the line $\displaystyle \alpha x+4 y=\sqrt{7}$, where $\displaystyle \alpha \in \mathbf{R}$, touches the ellipse $\displaystyle 3 x^2+4 y^2=1$ at the point P in the first quadrant, then one of the focal distances of P is :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \frac{1}{\sqrt{3}}+\frac{1}{2 \sqrt{7}}$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.