jee-main 2025 Q13

jee-main · India · session1_22jan_shift1 Areas Between Curves Area Involving Conic Sections or Circles
The area of the region, inside the circle $( x - 2 \sqrt { 3 } ) ^ { 2 } + y ^ { 2 } = 12$ and outside the parabola $y ^ { 2 } = 2 \sqrt { 3 } x$ is:
(1) $3 \pi + 8$
(2) $6 \pi - 16$
(3) $3 \pi - 8$
(4) $6 \pi - 8$
The area of the region, inside the circle $( x - 2 \sqrt { 3 } ) ^ { 2 } + y ^ { 2 } = 12$ and outside the parabola $y ^ { 2 } = 2 \sqrt { 3 } x$ is:\\
(1) $3 \pi + 8$\\
(2) $6 \pi - 16$\\
(3) $3 \pi - 8$\\
(4) $6 \pi - 8$