Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 22

MEDIUM

JEE Main

IMPORTANT

Earn 100

Compute the area of the figure bounded by the parabolas $x = - 2 y^{2}, x = 1 - 3 y^{2} .$

Important Questions on Area Enclosed by Curves

MEDIUM

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 23

Compute the area of the region in the first quadrant bounded by the curves

y^{2} = 4 x

and

{(x - 4)}^{2} + y^{2} = 16 .

MEDIUM

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 24

Find the area of a loop between the curve

y = a \sin x

and

x - a x i s .

MEDIUM

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 25

Find the area of the figure bounded by parabola

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

the tangent to it at the point

(2, - 5)

and the

y - a x i s .

HARD

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 26

Find the area of the figure which lies in the

1^{st}

quadrant and is bounded by the curves

x^{2} + y^{2} = 3 a^{2}, y^{2} = 2 a x

and

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

MEDIUM

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 27

Find the area bounded by the parabola

y = 6 + 4 x - x^{2}

and the chord joining the points

(- 2, - 6)

and

(4, 6) .

MEDIUM

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 28

The slope of the tangent to a curve

y = f (x)

at a point

(x, y)

is

2 x + 1

and the curve passes through the point

(1, 2) .

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

x - a x i s

and the line

x = 1 .

HARD

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 29

Indicate the region bounded by the curves

y = x \log x

and

y = 2 x - 2 x^{2}

and obtain the area enclosed by them.

MEDIUM

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 30

The area enclosed by the circle

x^{2} + {(y + 2)}^{2} = 16

is divided into two parts by the

x - a x i s .

Find by integration, the area of the smaller part.