Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 2>Q 17

EASY

JEE Main/Advance

IMPORTANT

Earn 100

The area bounded by the curve $y = | x | - 1$ and $y = - | x | + 1$ is

50% studentsanswered this correctly

Important Questions on Application of Integrals

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 2>Q 18

The area bounded by curve

| x | + | y | \geq 1

and

x^{2} + y^{2} \leq 1

for

x \geq 0

is

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 2>Q 19

Area bounded by the curves

y = x^{2} - 1, x + y = 3

is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 2>Q 20

The area bounded between curves

y^{2} = x

and

y = | x |

is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 2>Q 21

The area of

\int_{- 10}^{10} f (x) d x

, where

f (x) = \min {x - [x], - x - [- x]}

, where [ ] is

G . I . F .

, is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 2>Q 22

The area of the figure bounded by the parabola

y = - x^{2} - 4 x + 5

and the line tangent to it at the point

M (2, - 7)

and the

y

-axis is

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 2>Q 23

The area of the region enclosed by the curves

y = x \log x

and

y = 2 x - 2 x^{2}

is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 2>Q 24

If area bounded by the curve

x = a y^{2}

and

y = a x^{2}

is

1

sq. unit, then the positive value of

a

is equal to

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 2>Q 25

The slope of the tangent to a curve

y = f (x)

at

(x, f (x))

is

2 x + 1 .

If the curve passes through the point

(1, 2)

then the area of the region bounded by the curve, the

x

-axis and the line

x = 1

is: