Let PQ and MN be two straight lines touching the circle x²+y²-4x-… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 21 January, Shift 1Circle Equation & Properties

Let PQ and MN be two straight lines touching the circle $x^2+y^2-4x-6y-3=0$ at the points A and B respectively. Let O be the centre of the circle and $\angle AOB = \pi/3$ . Then the locus of the point of intersection of the lines PQ and MN is:

A
$x^2+y^2-18x-12y-25=0$
B
$3(x^2+y^2)-18x-12y+25=0$
C
$3(x^2+y^2)-12x-18y-25=0$
D
$x^2+y^2-12x-18y-25=0$

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