EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 27 July 2021 Shift 2>Q 9

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JEE Main

IMPORTANT

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The area of the region bounded by $y - x = 2$ and $x^{2} = y$ is equal to :-

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Important Questions on Area under Curves

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main 17 March 2021 Shift 2>Q 10

Let

f : [- 3, 1] \to R

be given as

f (x) = \{\begin{array}{l} m i n \{(x + 6), x^{2}\}, & - 3 \leq x \leq 0 \\ m a x \{\sqrt{x}, x^{2}\}, & 0 \leq x \leq 1 \end{array} .

If the area bounded by

y = f (x)

and

x

-axis is

A

sq units, then the value of

6 A

is equal to

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main 18 March 2021 Shift 2>Q 11

The area (in sq. unit) bounded by the curve

4 y^{2} = x^{2} (4 - x) (x - 2)

is equal to

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 24 Feb 2021 Shift 1>Q 12

The area (in sq. units) of the part of the circle

x^{2} + y^{2} = 36

, which is outside the parabola

y^{2} = 9 x

, is equal to

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 24 Feb 2021 Shift 2>Q 13

The area of the region:

R = \{(x, y) : 5 x^{2} \leq y \leq 2 x^{2} + 9\}

is

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 25 Feb 2021 Shift 1>Q 14

The graphs of sine and cosine functions, intersect each other at a number of points and between two consecutive points of intersection, the two graphs enclose the same area

A

. Then

A^{4}

is equal to

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 26 Feb 2021 Shift 1>Q 15

The area bounded by the lines

y = ||x - 1| - 2|

is _____sq. units.

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 26 Feb 2021 Shift 2>Q 16

Let

A_{1}

be the area of the region bounded by the curves

y = \sin x, y = \cos x

and

y

-axis in the first quadrant. Also, let

A_{2}

be the area of the region bounded by the curves

y = \sin x, y = \cos x

,

x

-axis and

x = \frac{π}{2}

in the first quadrant. Then,

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 2 September 2020 Shift 1>Q 17

Area (in sq. units) of the region outside

\frac{|x|}{2} + \frac{|y|}{3} = 1

and inside the ellipse

\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1

is