# Maths MCQs for Class 12 with Answers Chapter 8 Application of Integrals

## Application of Integrals Class 12 Maths MCQs Pdf

1. 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

**Answer/Explanation**

Answer: d

Explaination:

(d), as sin x is positive in 1st and 2nd quadrant and negative is 3rd and 4th quadrant.

2. Area of the region bounded by the curve y = \(\sqrt{49-x^{2}}\) and the x-axis is

(a) \(\frac{49}{2}\)π sq units

(b) 98π sq units

(c) 49π sq units

(d) 240π sq units

**Answer/Explanation**

Answer:

Explaination:

3. 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) \(\frac{3}{2}\) sq units

(c) 6 sq units

(d) 8 sq units

**Answer/Explanation**

Answer: c

Explaination: (c), as area = \(\int_{-1}^{1}\) (2y + 3)dy = 6 sq units

4. The area of the region bounded by the curve y = \(\frac{1}{x}\), the x-axis and between x = 1 to x = 6 is ________ .

**Answer/Explanation**

Answer:

Explaination:

5. The area enclosed by the curve y = x² and y = 8 is________.

**Answer/Explanation**

Answer:

Explaination:

6. The area of the region bounded by the curve y² = x, the y-axis and between y = 2 and y = 4 is \(\frac{56}{3}\) sq units. State true or false.

**Answer/Explanation**

Answer:

Explaination:

7. Find the area of the region bounded by the curve y = \(\frac{41}{x}\), x-axis and between x = 1, x = 4.

**Answer/Explanation**

Answer:

Explaination:

8. Write an expression for finding the area bounded by the curves y = sin x and y = cos x, between x = 0, x = \(\frac{\pi}{2}\) and the x-axis. [HOTS]

**Answer/Explanation**

Answer:

Explaination:

9. Find the area of the region bounded by the curve y = x² and the line y = 4. [NCERT]

**Answer/Explanation**

Answer:

Explaination:

10. Using integration find the area of the region bounded by the parabola y = x² and the line y = x. [Delhi 2013(C)]

**Answer/Explanation**

Answer:

Explaination:

11. Find the area bounded by the curve y² = 4ax and the line y = 2a and the y-axis.

**Answer/Explanation**

Answer:

Explaination:

12. Find the area bounded by the curve y = cos x between x = 0 and x = 2π. [NCERT]

**Answer/Explanation**

Answer:

Explaination: