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 A O B=\pi \/ 3. Then the locus of the point of intersection of the lines PQ and MN is : [21 Jan 2026 Shift 1]

Correct Answer is : 3(x2+y2)−12x−18y−25=0

Circles Part 2

Section: Mathematics

Question : 6 of 78

Marks: +1, -0

Let PQ and MN be two straight lines touching the circle x2+y2−4x−6y−3=0 at the points A and B respectively. Let O be the centre of the circle and ∠AOB=π∕3. Then the locus of the point of intersection of the lines PQ and MN is :

[21 Jan 2026 Shift 1]

x2+y2−18x−12y−25=0
x2+y2−12x−18y−25=0
3(x2+y2)−12x−18y−25=0
3(x2+y2)−18x−12y+25=0

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