jee-main 2017 Q66

jee-main · India · 09apr Areas Between Curves Area Between Curves with Parametric or Implicit Region Definition

The area (in sq. units) of the region $\{ ( x , y ) : x \geq 0 , x + y \leq 3 , x ^ { 2 } \leq 4 y$ and $y \leq 1 + \sqrt { x } \}$ is:
(1) $\frac { 59 } { 12 }$
(2) $\frac { 3 } { 2 }$
(3) $\frac { 7 } { 3 }$
(4) $\frac { 5 } { 2 }$

The area (in sq. units) of the region $\{ ( x , y ) : x \geq 0 , x + y \leq 3 , x ^ { 2 } \leq 4 y$ and $y \leq 1 + \sqrt { x } \}$ is:\\
(1) $\frac { 59 } { 12 }$\\
(2) $\frac { 3 } { 2 }$\\
(3) $\frac { 7 } { 3 }$\\
(4) $\frac { 5 } { 2 }$

Paper Questions

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