JEE Main 2014 (Offline) | Area Under The Curves Question 98 | Mathematics

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 :

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

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

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

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

JEE Main 2013 (Offline)

MCQ (Single Correct Answer)

-1

The area (in square units) bounded by the curves $$y = \sqrt {x,} $$ $$2y - x + 3 = 0,$$ $$x$$-axis, and lying in the first quadrant is :

$$9$$

$$36$$

$$18$$

$${{27} \over 4}$$

AIEEE 2012

MCQ (Single Correct Answer)

-1

The area between the parabolas $${x^2} = {y \over 4}$$ and $${x^2} = 9y$$ and the straight line $$y=2$$ is :

$$20\sqrt 2 $$

$${{10\sqrt 2 } \over 3}$$

$${{20\sqrt 2 } \over 3}$$

$$10\sqrt 2 $$

AIEEE 2011

MCQ (Single Correct Answer)

-1

The area of the region enclosed by the curves $$y = x,x = e,y = {1 \over x}$$ and the positive $$x$$-axis is :

$$1$$ square unit

$${3 \over 2}$$ square units

$${5 \over 2}$$ square units

$${1 \over 2}$$ square unit

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