Application of Integrals Class 12 MCQs Questions with Answers

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

2. The area enclosed between the graph of y = x³ and the lines x = 0, y = 1, y = 8 is

3. The area bounded by the curve y = x log x and  y = 2x−2×2 is

4. The area bounded by the curves y2 = 20x and x2 = 16y is equal to

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

6.

7.

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

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

10.

11. The area bounded by the curve 2x² + y² = 2 is

12. The area bounded by the curves y2 = 4x and y = x is equal to

13. Area bounded between the parabola y² = 4ax and its latus rectum is

14. The area bounded by the lines |x| + |y| = 1 is

15. The area of smaller portion bounded by |y| = -x + 1 and y² = 4x is

16. The area bounded by the line y = 2x – 2, y = -x and x-axis is given by

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

18.

19. 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)

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