isi-entrance 2024 Q8

isi-entrance · India · UGA Circles Chord Length and Chord Properties
The angle subtended at the origin by the common chord of the circles $x^2 + y^2 - 6x - 6y = 0$ and $x^2 + y^2 = 36$ is
(A) $\pi/2$
(B) $\pi/4$
(C) $\pi/3$
(D) $2\pi/3$
The angle subtended at the origin by the common chord of the circles $x^2 + y^2 - 6x - 6y = 0$ and $x^2 + y^2 = 36$ is\\
(A) $\pi/2$\\
(B) $\pi/4$\\
(C) $\pi/3$\\
(D) $2\pi/3$