jee-main 2023 Q74

jee-main · India · session2_13apr_shift2 Areas Between Curves Area Involving Piecewise or Composite Functions
The area of the region $\{ ( x , y ) : x ^ { 2 } \leq y \leq | x ^ { 2 } - 4 | , y \geq 1 \}$ is
(1) $\frac { 4 } { 3 } ( 4 \sqrt { 2 } - 1 )$
(2) $\frac { 4 } { 3 } ( 4 \sqrt { 2 } + 1 )$
(3) $\frac { 3 } { 4 } ( 4 \sqrt { 2 } + 1 )$
(4) $\frac { 3 } { 4 } ( 4 \sqrt { 2 } - 1 )$
The area of the region $\{ ( x , y ) : x ^ { 2 } \leq y \leq | x ^ { 2 } - 4 | , y \geq 1 \}$ is\\
(1) $\frac { 4 } { 3 } ( 4 \sqrt { 2 } - 1 )$\\
(2) $\frac { 4 } { 3 } ( 4 \sqrt { 2 } + 1 )$\\
(3) $\frac { 3 } { 4 } ( 4 \sqrt { 2 } + 1 )$\\
(4) $\frac { 3 } { 4 } ( 4 \sqrt { 2 } - 1 )$