Below you will find **MCQ Questions of Chapter 8 Application of Integrals Class 12 Maths Free PDF Download** that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 12 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

# MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals with answers

1. The area enclosed between the curves y = √x , x = 2y+3and the x-axis is

(a) 9

(b) 18

(c) 27

(d) none of these

► (a) 9

2. The area bounded by the parabolas y = (x+1)^{2} and y = (x−1)^{2} and the line y = (1/4) is equal to

(a) 4/3

(b) 1/3

(c) 1/6

(d) 4

► (b) 1/3

3. The area bounded by [x] +[y] = 8 such that x, y > 0 is .... sq. unit Where [.] is G.I.F.

(a) 3

(b) 6

(c) 9

(d) 12

► (c) 9

4. The area bounded by x = x1, y = y1 and y = -(x + 1)^{2} where x1, y1 are the values of x, y satisfying the equation sin-1x + sin-1y = -π will be, (nearer to origin)

(a) 1/3

(b) 2/3

(c) 1

(d) 3/2

► (b) 2/3

5. Area under the circle x^{2} + y2 = 16 is

(a) π sq units

(b) 13π sq units

(c) 16 π sq units

(d) 4 π sq units

► (c) 16 π sq units

6. The area bounded by the curves y = √x , 2y+3 = x and the x – axis in the first quadrant is

(a) 9

(b) 18

(c) 36

(d) none of these

► (a) 9

7. The area of the figure bounded by the curve y = log_{e}x , the x – axis and the straight line x = e is

(a) 1

(b) 5 - e

(c) 3 + e

(d) none of these

► (a) 1

8. The area of the region bounded by y = x^{2} – 2x and y = 4 – x^{2} is.

(a) 7 sq. units

(b) 8 sq. units

(c) 9 sq. units

(d) 10 sq. units

► (c) 9 sq. units

9. The area bounded by the curves y^{2} = 20x and x^{2} = 16y is equal to

(a) 80π sq. units

(b) 100π sq. units

(c) 320/3 sq. units

(d) none of these

► (c) 320/3 sq. units

10. The area bounded by the curves y^{2} = 4x and y = x is equal to

(a) 8/3

(b) 35/6

(c) 1/3

(d) none of these

► (a) 8/3

11. The area bounded by y = |sinx| , the x – axis and the line |x| = π is

(a) 6 sq. units

(b) 2 sq. units

(c) 4 sq. units

(d) none of these

► (c) 4 sq. units

12. The area enclosed by the parabola y2 = 2x and its tangents through the point (-2 , 0) is

(a) 8/3

(b) 4

(c) 3

(d) none of these

► (a) 8/3

13. The area bounded by the curves y = 2- |x -1| , y = sin x ; x = 0 and x =2 is

(a) 1+ 2 cos^{2} 1

(b) 2 + sin^{2} 1

(c) π/2

(d) 1+ log 2

► (a) 1+ 2 cos^{2} 1

14. The area bounded by the curves y2 = x and y = x2 is

(a) 1/2 sq. units

(b) 2/3 sq. units

(c) 1 sq. units

(d) none of these

► (d) none of these

15. The area of the loop between the curve y = a sin x and the x – axis and x = 0 , x = π. is

(a) a

(b) 2a

(c) 3a

(d) none of these

► (b) 2a

16. The area bounded by the parabolas y = 5x2and y − 9 = 2x2 is

(a) 12√3 sq.units

(b) 6√2 sq.units

(c) 12√2 sq.units

(d) 4√3 sq.units

► (a) 12√3 sq.units

17. The area of the region bounded by the curves y = |x−2|, x = 1 , x = 3 and the x – axis is

(a) 2

(b) 1

(c) 3

(d) 4

► (b) 1

18. The area enclosed between the curves y = x^{3} ,x- axis and two ordinates x = 1 to x = 2 is [in square units]

(a) 15/4

(b) 5/3

(c) 5/4

(d) 12/5

► (a) 15/4

19. The area bounded by y = 2cosx , x = 0 to x = 2π and the axis of x in square units is

(a) 6

(b) 4

(c) 8

(d) 7

► (c) 8

20. The area of the region bounded between the line x=9 and the parabola y^{2}=16x is

(a) 144 sq units

(b) 27 sq units

(c) 104 sq units

(d) 54 sq units

► (a) 144 sq units

21. The area bounded by the curve y = x^{3}, the x – axis and two ordinates x = 1 and x = 2 is

(a) 17/2 sq. units

(b) 15/2 sq. units

(c) 15/4 sq. units

(d) 17/4 sq. units

► (c) 15/4 sq. units

22. The area bounded by the curve y = x log x and y = 2x−2x^{2} is

(a) 1/2 sq. units

(b) 7/12 sq. units

(c) 3/12 sq. units

(d) none of these

► (b) 7/12 sq. units

Hope the given MCQ Questions will help you in cracking exams with good marks. These **Application of Integrals MCQ Questions** will help you in practising more and more questions in less time.