EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 26 June 2022 Shift 1>Q 58

HARD

JEE Main

IMPORTANT

Earn 100

The area bounded by the curve $y = |x^{2} - 9|$ and the line $y = 3$ is

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Important Questions on Area under Curves

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 26 June 2022 Shift 1>Q 59

Let

f (x) = \max \{|x + 1|, |x + 2|, \dots, |x + 5|\}

. Then

\int_{- 6}^{0} f (x) d x

is equal to ______.

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 27 June 2022 Shift 1>Q 60

Let

A_{1} = \{(x, y) : |x| \leq y^{2}, |x| + 2 y \leq 8\}

and

A_{2} = \{(x, y) : |x| + |y| \leq k\} .

If

27

(Area

A_{1}

)

= 5

(Area

A_{2}

), then

k

is equal to

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 27 June 2022 Shift 2>Q 61

If the area of the region

\{(x, y) : x^{\frac{2}{3}} + y^{\frac{2}{3}} \leq 1, x + y \geq 0, y \geq 0\}

is

A

, then

\frac{256 A}{π}

is

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 28 June 2022 Shift 1>Q 62

The area of the region

S = \{(x, y) : y^{2} \leq 8 x, y \geq \sqrt{2} x, x \geq 1\}

is

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 28 June 2022 Shift 2>Q 63

The area of the bounded region enclosed by the curve

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

and the

x

-axis is

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 29 June 2022 Shift 1>Q 64

The area enclosed by

y^{2} = 8 x

and

y = \sqrt{2} x

that lies outside the triangle formed by

y = \sqrt{2} x, x = 1, y = 2 \sqrt{2}

, is equal to

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 29 June 2022 Shift 2>Q 65

For real numbers $a, b (a > b > 0)$ , let

Area $\{(x, y) : x^{2} + y^{2} \leq a^{2}$ and $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} \geq 1\} = 30 π$ and

Area $\{(x, y) : x^{2} + y^{2} \geq b^{2}$ and $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} \leq 1\} = 18 π$

Then the value of $(a - b)^{2}$ is equal to _____.

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 25 July 2022 Shift 1>Q 66

The area of the region given by

A = \{(x, y) : x^{2} \leq y \leq \min \{x + 2, 4 - 3 x\}\}

is