Let PQ and MN be two tangents..... | JEE Main 2026

JEE MAIN 2026

21-01-2026 S1

Question

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 $\angle \mathrm{AOB}=\pi / 3$. Then the locus of the point of intersection of the lines $P Q$ and $M N$ is :

Select the correct option:

$3\left(x^2+y^2\right)-18 x-12 y+25=0$

$x^2+y^2-12 x-18 y-25=0$

$x^2+y^2-18 x-12 y-25=0$

$3\left(x^2+y^2\right)-12 x-18 y-25=0$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution