Mathematics · 2026
JEE Main · 21 January 2026, Shift 1 · Q11
Let PQ and MN be two straight lines touching the circle x^2+y^2-4 x-6 y-3=0 at the points A and B respectively. Let O be the centre of the circle and…
Let PQ and MN be two straight lines touching the circle $\displaystyle x^2+y^2-4 x-6 y-3=0$ at the points A and B respectively. Let O be the centre of the circle and $\displaystyle \angle \mathrm{AOB}=\pi / 3$. Then the locus of the point of intersection of the lines PQ and MN is :
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 3\left(x^2+y^2\right)-12 x-18 y-25=0$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.