jee-main 2017 Q84

jee-main · India · 08apr Areas by integration

The area (in sq. units) of the smaller portion enclosed between the curves, $x ^ { 2 } + y ^ { 2 } = 4$ and $y ^ { 2 } = 3 x$, is:
(1) $\frac { 1 } { \sqrt { 3 } } + \frac { 4 \pi } { 3 }$
(2) $\frac { 1 } { \sqrt { 3 } } + \frac { 2 \pi } { 3 }$
(3) $\frac { 1 } { 2 \sqrt { 3 } } + \frac { \pi } { 3 }$
(4) $\frac { 1 } { 2 \sqrt { 3 } } + \frac { 2 \pi } { 3 }$

The area (in sq. units) of the smaller portion enclosed between the curves, $x ^ { 2 } + y ^ { 2 } = 4$ and $y ^ { 2 } = 3 x$, is:\\
(1) $\frac { 1 } { \sqrt { 3 } } + \frac { 4 \pi } { 3 }$\\
(2) $\frac { 1 } { \sqrt { 3 } } + \frac { 2 \pi } { 3 }$\\
(3) $\frac { 1 } { 2 \sqrt { 3 } } + \frac { \pi } { 3 }$\\
(4) $\frac { 1 } { 2 \sqrt { 3 } } + \frac { 2 \pi } { 3 }$

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