Coordinate Geometry: JEE Main 2026 Mathematics question

JEE Main 2026 · 21 Jan, Morning shift · Q9

JEE Main 202621 Jan, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

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 :

JEE Main 2026 · 21 Jan, Morning shift · Q9

JEE Main 202621 Jan, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

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 :

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