Class 12 Mathematics - Chapter 8: Application of Integrals MCQ Questions

13 Questions 26 Minutes

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Your Class 12 Mathematics Study Path

Question 1

The area of the region bounded by the curve y = xÂ² and the line y = 16 is

A (frac { 128 }{3})

B (frac { 64 }{3})

C (frac { 256 }{3})

D (frac { 32 }{3})

Question 2

Area lying between the curves yÂ² = 4x and y = 2 is:

A (frac { 3 }{4})

B (frac { 1 }{4})

C (frac { 1 }{3})

D (frac { 2 }{3})

Question 3

Smaller area enclosed by the circle xÂ² + yÂ² = 4 and the line x + y = 2 is

A 2 (Ï€ + 2).

B 2Ï€ – 1

C Ï€ – 2

D 2 (Ï€ – 2)

Question 4

The area of the circle xÂ² + yÂ² = 16 exterior to the parabola yÂ² = 6x is

A (frac { 4 }{3}) (8Ï€ + âˆš3)

B (frac { 2 }{3}) (8Ï€ – âˆš3)

C (frac { 1 }{3}) (4Ï€ + âˆš3)

D (frac { 4 }{3}) (4Ï€ – âˆš3)

Question 5

Area of the region bounded by the curve yÂ² = 4x, y-axis and the line y = 3 is

A (frac { 9 }{2})

B (frac { 9 }{3})

C (frac { 9 }{4})

D 2

Question 6

The area bounded by the curve y = x|x|, x-axis and the ordinates x = -1 and x = 1 is given by

A (frac { 4 }{3})

B (frac { 2 }{3})

C –(frac { 1 }{3})

Question 7

Area bounded by the curve y = xÂ³, the x-axis and the ordinates x = -2 and x = 1 is

A (frac { 17 }{4})

B (frac { 15 }{4})

C –(frac { 15 }{4})

D -9

Question 8

The area enclosed by the circle xÂ² + yÂ² = 2 is equal to

A 2Ï€ sq. units.

B 4Ï€Â² sq. units

C 2âˆš2 Ï€ sq. units

D 4Ï€ sq. units

Question 9

The area enclosed by the ellipse (frac { x^2 }{a^2}) + (frac { y^2 }{b^2}) = 1 is equal to

A Ï€abÂ².

B Ï€aÂ²b

C Ï€ab

D Ï€Â²ab

Question 10

The area of the region bounded by the curve xÂ² = 4y and the straight line x = 4y – 2 is

A (frac { 9 }{8}) sq. units.

B (frac { 7 }{8}) sq. units

C (frac { 5 }{8}) sq. units

D (frac { 3 }{8}) sq. units

Question 11

{(x, y) : yÂ² â‰¥ 2x and xÂ² + y2 â‰¤ 4x, x â‰¥ 0, y â‰¥ 0} is

A Ï€ – (frac { 4 }{3})

B (frac { Ï€ }{2}) – (frac { 2âˆš2 }{3})

C Ï€ – (frac { 4âˆš2 }{3})

D Ï€ – (frac { 8 }{3})

Question 12

Area lying in the first quadrant and bounded by the circle xÂ² + yÂ² = 4 and the lines x = 0 and x = 2 is

A (frac { Ï€ }{4})

B (frac { Ï€ }{3})

C (frac { Ï€ }{2})

D Ï€

Question 13

The area of the region bounded by the y-axis, y = cos x and y = sin x, 0 â‰¤ x â‰¤ (frac { Ï€ }{2}) is

A (2âˆš2 – 1) sq. units.

B (âˆš2 – 1) sq. units

C (âˆš2 + 1) sq. units

D âˆš2 sq. units

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Class 12 Mathematics - Chapter 8: Application of Integrals MCQ Questions

Your Class 12 Mathematics Study Path

The area of the region bounded by the curve y = xÂ² and the line y = 16 is

Area lying between the curves yÂ² = 4x and y = 2 is:

Smaller area enclosed by the circle xÂ² + yÂ² = 4 and the line x + y = 2 is

The area of the circle xÂ² + yÂ² = 16 exterior to the parabola yÂ² = 6x is

Area of the region bounded by the curve yÂ² = 4x, y-axis and the line y = 3 is

The area bounded by the curve y = x|x|, x-axis and the ordinates x = -1 and x = 1 is given by

Area bounded by the curve y = xÂ³, the x-axis and the ordinates x = -2 and x = 1 is

The area enclosed by the circle xÂ² + yÂ² = 2 is equal to

The area enclosed by the ellipse (frac { x^2 }{a^2}) + (frac { y^2 }{b^2}) = 1 is equal to

The area of the region bounded by the curve xÂ² = 4y and the straight line x = 4y – 2 is

{(x, y) : yÂ² â‰¥ 2x and xÂ² + y2 â‰¤ 4x, x â‰¥ 0, y â‰¥ 0} is

Area lying in the first quadrant and bounded by the circle xÂ² + yÂ² = 4 and the lines x = 0 and x = 2 is

The area of the region bounded by the y-axis, y = cos x and y = sin x, 0 â‰¤ x â‰¤ (frac { Ï€ }{2}) is

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