jee-main 2020 Q66

jee-main · India · session2_03sep_shift1 Areas Between Curves Area Between Curves with Parametric or Implicit Region Definition

The area (in sq. units) of the region $\left\{ ( x , y ) : 0 \leq y \leq x ^ { 2 } + 1,0 \leq y \leq x + 1 , \frac { 1 } { 2 } \leq x \leq 2 \right\}$ is
(1) $\frac { 23 } { 16 }$
(2) $\frac { 79 } { 24 }$
(3) $\frac { 79 } { 16 }$
(4) $\frac { 23 } { 6 }$

The area (in sq. units) of the region $\left\{ ( x , y ) : 0 \leq y \leq x ^ { 2 } + 1,0 \leq y \leq x + 1 , \frac { 1 } { 2 } \leq x \leq 2 \right\}$ is

(1) $\frac { 23 } { 16 }$\\
(2) $\frac { 79 } { 24 }$\\
(3) $\frac { 79 } { 16 }$\\
(4) $\frac { 23 } { 6 }$

Paper Questions

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