NCERT Class 12 Chapter 8 Maths Application of Integrals MCQ

NCERT Class 12 Chapter 8 Maths Application of Integrals MCQ | Questions & Answers: Want to expertise in NCERT Class 12 Chapter 8 Maths Application of Integrals? then here is the perfect way to do it. Use the Online MCQ quiz we have established below to learn new things and enhance your existing skill set.

Page 1 of 3

1. The area of the region bounded by the y-axis, y = cos x and y = sin x, 0 ≤ x ≤ π2 is

A. √2 sq.units

B. (√2 + 1) sq. units

C. (√2 – 1) sq. units

D. (2√2 – 1) sq.units

2. Area bounded by the curve y = sin x and the x-axis between x = 0 and x = 2π is

A. 2 sq units

B. 0 sq units

C. 3 sq units

D. 4 sq units

3. The area enclosed between the lines x = 2 and x = 7 is

A. Infinite

B. 7 units

C. 5 units

D. 2 units

4. If y = 2 sin x + sin 2x for 0 ≤ x ≤ 2π, then the area enclosed by the curve and x-axis is

A. 2 sq. units

B. 8 sq. units

C. 12 sq. units

D. 4 sq. unjts

5. The area of the region bounded by the curve x² = 4y and the straight line x = 4y – 2 is

A. 38 sq.units

B. 58 sq.units

C. 78 sq.units

D. 98 sq. units

6. The area bounded by the lines y = |x – 2|, x = 1, x = 3 and the x-axis is

A. 1 sq. units

B. 2 sq. units

C. 3 sq. units

D. 4 sq. units

7. If the area of y = f(x) between x = a and x = b is

then the point c is the point of intersection of the curve with:

A. Line x = a

B. Y - axis

C. X - axis

D. Line x = b

8. The area of the region bounded by the curve y = 16−x2−−−−−−√ and x-axis is

A. 8π sq.units

B. 20π sq. units

C. 16π sq. units

D. 256π sq. units

9. Area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x² + y² = 32 is

A. 16π sq.units

B. 4π sq. units

C. 32π sq. units

D. 24π sq. units

10. Area of the region bounded by the curve x = 2y + 3, the y-axis and between y = -1 and y = 1 is

A. 4 sq units 3

B. 32 sq units

C. 6 sq units

D. 8 sq units

Page 2 of 3

11. Area under the circle x² + y² = 16 is

A. π sq units

B. 13π sq units

C. 16 π sq units

D. 4 π sq units

12. The area of the region bounded by the circle x² + y² = 1 is

A. 2π sq. units

B. 7π sq. units

C. 3π sq. units

D. 4π sq. units

13.

CBSE Class12 Maths Application of Integrals (13Q)

A. 144/3 sq. units

B. 142/3 sq. units

C. 145/3 sq. units

D. 143/2 sq. units

14. Area of the region bounded by the curve y = cos x between x = 0 and x = π is

A. 2 sq. units

B. 4 sq, units

C. 3 sq.units

D. 1 sq. units

15. The area of the region bounded by the curve x = 2y + 3 and the lines y = 1 and y = -1 is

A. 4 sq. units

B. 12 sq. units

C. 6 sq. units

D. 8 sq. units

16. Area of the region bounded by the curve y² = 2y - x and y-axis is:

A. 4/3 sq. units

B. 3/4 sq. units

C. 4 sq. units

D. 3 sq. units

17. The area of the region bounded by parabola y² = x and the straight line 2y = x is

A. 43 sq. unit

B. 1 sq. unit

C. 23 sq. units

D. 13 sq. units

18. Area of triangle whose two vertices formed from the x-axis and line y = 3 – |x| is

A. 9 sq. units

B. 12 sq. units

C. 3 sq. units

D. None of these

19. The area of the region bounded between the line x=9 and the parabola y²=16x is

A. 144 sq units

B. 27 sq units

C. 104 sq units

D. 54 sq units

20. The area of the region bounded by the curve y = sin x between the ordinates x = 0, x = π2 and the x-axis is

A. 2 sq. units

B. 4 sq. units

C. 3 sq. units

D. 1 sq, unit

Page 3 of 3

21. Area bounded by the lines y = |x| and y = 1 – |x – 1| is equal to

A. 4 sq. units

B. 6 sq. units

C. 2 sq. units

D. 8 sq. units

22. Area of the region

is :

A. 1/3 sq. units

B. 1/5 sq. units

C. 1/2 sq. units

D. 1/4 sq. units

23. The area of the region bounded by the ellipse x²25 + y²16 = 1 is

A. 20π sq. units

B. 20π² sq. units

C. 16π² sq. units

D. 25π sq. units

24. Area of the region bounded by the curve y = cos x between x = 0 and x = π is

A. 2 sq. units

B. 4 sq, units

C. 3 sq.units

D. 1 sq. units

25. If the area above x-axis, bounded by the curves y = 2^kx, x = 0 and x = 2 is

then k = ?

A. k = 0

B. k = 1

C. k = 2

D. k=-1