jee-main 2014 Q85

jee-main · India · 06apr Areas by integration

The area (in sq. unit) of the region described by $A = \left\{ ( x , y ) : x ^ { 2 } + y ^ { 2 } \leq 1 \text{ and } y ^ { 2 } \leq 1 - x \right\}$ is
(1) $\frac { \pi } { 2 } - \frac { 2 } { 3 }$
(2) $\frac { \pi } { 2 } + \frac { 2 } { 3 }$
(3) $\frac { \pi } { 2 } + \frac { 4 } { 3 }$
(4) $\frac { \pi } { 2 } - \frac { 4 } { 3 }$

The area (in sq. unit) of the region described by $A = \left\{ ( x , y ) : x ^ { 2 } + y ^ { 2 } \leq 1 \text{ and } y ^ { 2 } \leq 1 - x \right\}$ is\\
(1) $\frac { \pi } { 2 } - \frac { 2 } { 3 }$\\
(2) $\frac { \pi } { 2 } + \frac { 2 } { 3 }$\\
(3) $\frac { \pi } { 2 } + \frac { 4 } { 3 }$\\
(4) $\frac { \pi } { 2 } - \frac { 4 } { 3 }$

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