jee-main 2026 Q20

jee-main · India · session1_21jan_shift1 Circles Circle-Related Locus Problems
The locus of point of intersection of tangent drawn to the circle $(x - 2)^{2} + (y - 3)^{2} = 16$, which substends an angle of $120^{\circ}$ is
(A) $3x^{2} + 3y^{2} + 12x + 18y - 25 = 0$ (B) $\mathrm{x}^{2} + \mathrm{y}^{2} - 12\mathrm{x} - 18\mathrm{y} - 25 = 0$ (C) $3x^{2} + 3y^{2} - 12x - 18y - 25 = 0$ (D) $x^{2} + y^{2} + 12x + 18y - 25 = 0$
The locus of point of intersection of tangent drawn to the circle $(x - 2)^{2} + (y - 3)^{2} = 16$, which substends an angle of $120^{\circ}$ is

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