jee-main 2025 Q75

jee-main · India · session2_07apr_shift2 Areas by integration
Q75. The area of the region in the first quadrant inside the circle $x ^ { 2 } + y ^ { 2 } = 8$ and outside the parabola $y ^ { 2 } = 2 x$ is equal to :
(1) $\frac { \pi } { 2 } - \frac { 1 } { 3 }$
(2) $\pi - \frac { 1 } { 3 }$
(3) $\frac { \pi } { 2 } - \frac { 2 } { 3 }$
(4) $\pi - \frac { 2 } { 3 }$
Q75. The area of the region in the first quadrant inside the circle $x ^ { 2 } + y ^ { 2 } = 8$ and outside the parabola $y ^ { 2 } = 2 x$ is equal to :\\
(1) $\frac { \pi } { 2 } - \frac { 1 } { 3 }$\\
(2) $\pi - \frac { 1 } { 3 }$\\
(3) $\frac { \pi } { 2 } - \frac { 2 } { 3 }$\\
(4) $\pi - \frac { 2 } { 3 }$