JEE Main 2016 (Online) 9th April Morning Slot | Area Under The Curves Question 116 | Mathematics

The area (in sq. units) of the region described by

A= {(x, y) $$\left| {} \right.$$y$$ \ge $$ x² $$-$$ 5x + 4, x + y $$ \ge $$ 1, y $$ \le $$ 0} is :

$${7 \over 2}$$

$${{19} \over 6}$$

$${{13} \over 6}$$

$${{17} \over 6}$$

JEE Main 2016 (Offline)

MCQ (Single Correct Answer)

-1

The area (in sq. units) of the region $$\left\{ {\left( {x,y} \right):{y^2} \ge 2x\,\,\,and\,\,\,{x^2} + {y^2} \le 4x,x \ge 0,y \ge 0} \right\}$$ is :

$$\pi - {{4\sqrt 2 } \over 3}$$

$${\pi \over 2} - {{2\sqrt 2 } \over 3}$$

$$\pi - {4 \over 3}$$

$$\pi - {8 \over 3}$$

JEE Main 2015 (Offline)

MCQ (Single Correct Answer)

-1

The area (in sq. units) of the region described by

$$\left\{ {\left( {x,y} \right):{y^2} \le 2x} \right.$$ and $$\left. {y \ge 4x - 1} \right\}$$ is :

$${{15} \over {64}}$$

$${{9} \over {32}}$$

$${{7} \over {32}}$$

$${{5} \over {64}}$$

JEE Main 2014 (Offline)

MCQ (Single Correct Answer)

-1

The area of the region described by
$$A = \left\{ {\left( {x,y} \right):{x^2} + {y^2} \le 1} \right.$$ and $$\left. {{y^2} \le 1 - x} \right\}$$ is :

$${\pi \over 2} - {2 \over 3}$$

$${\pi \over 2} + {2 \over 3}$$

$${\pi \over 2} + {4 \over 3}$$

$${\pi \over 2} - {4 \over 3}$$