jee-advanced 2016 Q41

jee-advanced · India · paper2 Areas by integration
Area of the region $\left\{ ( x , y ) \in \mathbb { R } ^ { 2 } : y \geq \sqrt { | x + 3 | } , 5 y \leq x + 9 \leq 15 \right\}$ is equal to
(A) $\frac { 1 } { 6 }$
(B) $\frac { 4 } { 3 }$
(C) $\frac { 3 } { 2 }$
(D) $\frac { 5 } { 3 }$
Area of the region $\left\{ ( x , y ) \in \mathbb { R } ^ { 2 } : y \geq \sqrt { | x + 3 | } , 5 y \leq x + 9 \leq 15 \right\}$ is equal to\\
(A) $\frac { 1 } { 6 }$\\
(B) $\frac { 4 } { 3 }$\\
(C) $\frac { 3 } { 2 }$\\
(D) $\frac { 5 } { 3 }$