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Mathematics · 2025

JEE Main · 8 April 2025, Shift 2 · Q12

Let the ellipse 3 x^2+p y^2=4 pass through the centre C of the circle x^2+y^2-2 x-4 y-11=0 of radius r. Let f_1, f_2 be the focal distances of the…

Let the ellipse $\displaystyle 3 x^2+p y^2=4$ pass through the centre $\displaystyle C$ of the circle $\displaystyle x^2+y^2-2 x-4 y-11=0$ of radius $\displaystyle r$. Let $\displaystyle f_1, f_2$ be the focal distances of the point $\displaystyle C$ on the ellipse. Then $\displaystyle 6 f_1 f_2-r$ is equal to
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.