Elements of Mathematics Class 12>Chapter 10 - Area Under Plane Curves (Application of Definite Integrals)>EXERCISES-10>Q 3

EASY

12th Odisha Board

IMPORTANT

Earn 100

Determine the area of the region bounded by $y^{2} = x^{3}$ and double ordinate through $(2, 0)$ .

Important Questions on Area Under Plane Curves (Application of Definite Integrals)

EASY

12th Odisha Board

IMPORTANT

Elements of Mathematics Class 12>Chapter 10 - Area Under Plane Curves (Application of Definite Integrals)>EXERCISES-10>Q 1

Find the area bounded by

y = e^{x}, y = 0, x = 4, x = 2

.

EASY

12th Odisha Board

IMPORTANT

Elements of Mathematics Class 12>Chapter 10 - Area Under Plane Curves (Application of Definite Integrals)>EXERCISES-10>Q 2

Find the area enclosed by

x y = a^{2}, x = 0, y = α, y = β (β > α > 0) .

EASY

12th Odisha Board

IMPORTANT

Elements of Mathematics Class 12>Chapter 10 - Area Under Plane Curves (Application of Definite Integrals)>EXERCISES-10>Q 2

Find the area enclosed by

y^{2} = x^{3}, x = 0, y = 1 .

EASY

12th Odisha Board

IMPORTANT

Elements of Mathematics Class 12>Chapter 10 - Area Under Plane Curves (Application of Definite Integrals)>EXERCISES-10>Q 3

Find the area of the circle

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

.

EASY

12th Odisha Board

IMPORTANT

Elements of Mathematics Class 12>Chapter 10 - Area Under Plane Curves (Application of Definite Integrals)>EXERCISES-10>Q 3

Find the area of the portion of the parabola

y^{2} = 4 x

, bounded by the double ordinate through

(3, 0)

.

EASY

12th Odisha Board

IMPORTANT

Elements of Mathematics Class 12>Chapter 10 - Area Under Plane Curves (Application of Definite Integrals)>EXERCISES-10>Q 3

Determine the area of the region bounded by

y^{2} = x^{3}

and double ordinate through

(2, 0)

.

MEDIUM

12th Odisha Board

IMPORTANT

Elements of Mathematics Class 12>Chapter 10 - Area Under Plane Curves (Application of Definite Integrals)>EXERCISES-10>Q 4

Find the area of the regions into which the circle

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

is divided by the line

x + \sqrt{3} y = 2

.

MEDIUM

12th Odisha Board

IMPORTANT

Elements of Mathematics Class 12>Chapter 10 - Area Under Plane Curves (Application of Definite Integrals)>EXERCISES-10>Q 4

Determine the area common to the parabola $y^{2} = x$ and the circle $x^{2} + y^{2} = 2 x$ .