Mathematics · 2025
JEE Main · 22 January 2025, Shift 1 · Q11
A circle C of radius 2 lies in the second quadrant and touches both the coordinate axes. Let r be the radius of a circle that has centre at the point…
A circle C of radius $\displaystyle 2$ lies in the second quadrant and touches both the coordinate axes. Let r be the radius of a circle that has centre at the point $\displaystyle (2,5)$ and intersects the circle C at exactly two points. If the set of all possible values of r is the interval $\displaystyle (\alpha, \beta)$, then $\displaystyle 3 \beta-2 \alpha$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 15$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.