jee-main 2017 Q84

jee-main · India · 02apr Areas by integration
The area (in sq. units) of the region $\{(x, y) : x \geq 0,\ x + y \leq 3,\ x^2 \leq 4y$ and $y \leq 1 + \sqrt{x}\}$ is
(1) $\dfrac{59}{12}$ sq. units
(2) $\dfrac{3}{2}$ sq. units
(3) $\dfrac{7}{3}$ sq. units
(4) $\dfrac{5}{2}$ sq. units
The area (in sq. units) of the region $\{(x, y) : x \geq 0,\ x + y \leq 3,\ x^2 \leq 4y$ and $y \leq 1 + \sqrt{x}\}$ is\\
(1) $\dfrac{59}{12}$ sq. units\\
(2) $\dfrac{3}{2}$ sq. units\\
(3) $\dfrac{7}{3}$ sq. units\\
(4) $\dfrac{5}{2}$ sq. units