MATHEMATICS CLASS XII VOLUME-2>Chapter 2 - Areas of Bounded Regions>EXERCISE>Q 23

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Find the area bounded by the curve $y = \cos x, x$ axis and the ordinates $x = 0$ and $x = 2 π$ .

[Enter the value excluding units]

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Important Questions on Areas of Bounded Regions

HARD

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 2 - Areas of Bounded Regions>EXERCISE>Q 24

Show that the areas under the curves

y = \sin x

and

y = \sin 2 x

between

x = 0

and

x = \frac{π}{3}

are in the ratio

2 : 3

.

HARD

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 2 - Areas of Bounded Regions>EXERCISE>Q 25

Compare the areas under the curves

y = \cos^{2} x

and

y = \sin^{2} x

between

x = 0

and

x = π

.

HARD

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 2 - Areas of Bounded Regions>EXERCISE>Q 26

Find the area bounded by the ellipse

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

and the ordinates

x = a e

and

x = 0

, where

b^{2} = a^{2} (1 - e^{2})

and

e < 1

.

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12th CBSE

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MATHEMATICS CLASS XII VOLUME-2>Chapter 2 - Areas of Bounded Regions>EXERCISE>Q 27

Find the area of the minor segment of the circle

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

cut off by the line

x = \frac{a}{2}

.

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 2 - Areas of Bounded Regions>EXERCISE>Q 28

Find the area of the region bounded by the curve

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

between the ordinates corresponding

t = 1

and

t = 2

.

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 2 - Areas of Bounded Regions>EXERCISE>Q 29

Find the area enclosed by the curve

x = 3 \cos t, y = 2 \sin t

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 2 - Areas of Bounded Regions>EXERCISE>Q 1

Find the area of the region in the first quadrant bounded by the parabola $y = 4 x^{2}$ and the lines $x = 0, y = 1$ and $y = 4$ .

[Write answer upto two decimal places]

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 2 - Areas of Bounded Regions>EXERCISE>Q 2

Find the area of the region bounded by $x^{2} = 16 y, y = 1, y = 4$ and the $y$ -axis in the first quadrant.

[Write answer up to two decimal places without unit]