Mathematics Crash Course JEE Main>Chapter 2 - Area under Curves>Level 1>Q 20

MEDIUM

JEE Main

IMPORTANT

Earn 100

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

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Important Questions on Area under Curves

HARD

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 2 - Area under Curves>Level 1>Q 21

The maximum area bounded by the curves

y^{2} = 4 a x, y = a x

and

y = \frac{x}{a}, 1 \leq a \leq 2

in squares units is equal to

MEDIUM

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 2 - Area under Curves>Level 2>Q 1

The area of the region bounded by

x = 0, y = 0, x = 2, y = 2, y \leq e^{x}

and

y \geq \ln x

is

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 2 - Area under Curves>Level 2>Q 2

The area bounded by the curve

y = f (x), x

-axis and ordinates

x = 1

and

x = b

is

(b - 1) \sin (3 b + 4),

then

f (x)

is

MEDIUM

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 2 - Area under Curves>Level 2>Q 3

Let

R

be the region containing the point

(x, y)

on the

X Y

-plane, satisfying

2 \leq |x + 3 y| + |x - y| \leq 4

. Then the area of this region is:

HARD

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 2 - Area under Curves>Level 2>Q 4

The area bounded by the curves

y = x e^{x}, y = x e^{- x}

and the line

x = 1

is

HARD

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 2 - Area under Curves>Level 2>Q 5

Area enclosed between the curves

|y| = 1 - x^{2}

and

x^{2} + y^{2} = 1

is

HARD

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 2 - Area under Curves>Level 2>Q 6

Area of the region which consists of all the points satisfying the conditions

| x - y | + | x + y | \leq 8

and

x y \geq 2

is equal to

HARD

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 2 - Area under Curves>Level 2>Q 7

Area bounded by the curve

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

and

y

-axis is