EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 10th April 2019 Shift 1>Q 34

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JEE Main

IMPORTANT

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The region represented by $|x - y| \leq 2$ and $|x + y| \leq 2$ is bounded by a

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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 - 10th April 2019 Shift 2>Q 35

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

y = 2^{x}

and

y = |x + 1|

, in the first quadrant is

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 10th January 2019 Shift 1>Q 36

If the area enclosed between the curves

y = k x^{2}

and

x = k y^{2}, (k > 0),

is

1 s q . u n i t .

Then

k

is

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 10th January 2019 Shift 1>Q 37

Let

I = \int_{a}^{b} (x^{4} - 2 x^{2}) d x .

If

I

is minimum then the ordered pair

(a, b)

is

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 12th April 2019 Shift 1>Q 38

If the area (in sq. units) of the region

\{(x, y) : y^{2} \leq 4 x, x + y \leq 1, x \geq 0, y \geq 0\}

is

a \sqrt{2} + b,

then

a - b

is equal to

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 12th April 2019 Shift 2>Q 39

If the area (in sq. units) bounded by the parabola

y^{2} = 4 λ x

and the line

y = λ x, λ > 0,

is

\frac{1}{9}

, then

λ

is equal to

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 12th January 2019 Shift 1>Q 40

The area (in sq. units) of the region bounded by the parabola,

y = x^{2} + 2

and the lines,

y = x + 1, x = 0

and

x = 3

, is

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 8th April 2018>Q 41

Let

g (x) = \cos x^{2}, f (x) = \sqrt{x},

and

α, β (α < β)

be the roots of the quadratic equation

18 x^{2} - 9 π x + π^{2} = 0

. Then the area (in sq. units) bounded by the curve

y = (g o f) (x)

and the lines

x = α, x = β

and

y = 0,

is

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 30 - Area under Curves>JEE Main - 15th April 2018>Q 42

The area (in sq. units) of the region

{x \in R : x \geq 0, y \geq 0, y \geq x - 2

and

y \leq \sqrt{x}}

is