**MCQs Questions for Class 12 Maths Chapter 8 Application of Integrals**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns.

In most of the competitive examinations, only MCQ questions are asked. So, for getting ready for the competitive examinations, we have to practice for MCQ questions to solve. It strengthens the critical thinking and problem solving skills.

In future, if you want to prepare for competitive examination and to crack it, then you should more focus on the MCQ questions. Thus, from the board examinations point of view and competitive examinations point of view, you should practice more on multiple choice questions.

Thus, let’s solve these MCQs Questions to make our foundation very strong.

**MCQs Questions for Class 12 Maths Chapter 8 Application of
Integrals**

**1.** The area bounded by the
parabola y^{2} = 2x and the tangents through the point (-2,
0) is

(a) 3 sq.
units

(b) 8/3 sq.
units

(c) 4/3 sq. units

(d) 4 sq. units

**Answer: b**

**2. **The area of the region enclosed by the y-axis, y = cos x and
y = sin x, 0 ≤ x ≤ Ï€/2 is

(a) √2 sq. units

(b) (√2 +
1) sq. units

(c) (√2 –
1) sq. units

(d) (2√2 –
1) sq. units

**Answer:**** c**

**3. **The area enclosed by the curves x + 2y^{2} = 0 and x + 3y^{2} = 1 is

(a) 1 sq.
units

(b) 4/3 sq. units

(c) 2/3 sq. units

(d) 1/3 sq. units

**Answer: b
**

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

(a) 3/8 sq. units

(b) 5/8 sq. units

(c) 9/8 sq. units

(d) 7/8 sq. units

**Answer:**** c
**

**5. **The area bounded by the curve y = x^{3} and the lines x = 0, y = 1, y = 8 is

(a) 45/4

(b) 14

(c) 7

(d) none of
these

**Answer: a
**

**6. **The area of the region in the first quadrant bounded by the
x-axis, the line y = x and the circle x² + y² = 32 is

(a) 24Ï€ sq.
units

(b) 4Ï€ sq.
units

(c) 32Ï€ sq.
units

(d) 16Ï€ sq.
units

**Answer:**** b
**

**7. **The ratio in which the x-axis divides the area of the region enclosed
by the curves y = x^{2} – 4x and y = 2x – x^{2 }is

(a) 4 : 19

(b) 4 : 27

(c) 4 : 23

(d) none of
these

**Answer: c**

**8. **The area of the region enclosed
by the curve y = cos x between x = 0 and x = Ï€ is

(a) 2 sq.
units

(b) 3 sq.
units

(c) 4 sq. units

(d) 1 sq.
units

**Answer:**** a**

**9. **The area enclosed by the lines y = |x – 1| and y = 3 – |x| is

(a) 3 sq.
units

(b) 2 sq.
units

(c) 6 sq.
units

(d) 4 sq.
units

**Answer: d**

**10. **The area of the region enclosed
by the circle x² + y² = 1 is

(a) 2Ï€ sq.
units

(b) 7Ï€ sq.
units

(c) 3Ï€ sq.
units

(d) 4Ï€ sq.
units

**Answer:**** b**

**11. **The area of the smaller portion bounded by |y| = -x + 1 and y^{2} = 4x is

(a) 3 sq.
units

(b) 2 sq.
units

(c) 1 sq.
units

(d) none of
these

**Answer: d**

**12. **If y = 2 sin x + sin 2x
for 0 ≤ x ≤ 2Ï€, then the area bounded by the curve and x-axis is

(a) 9 sq. units

(b) 8 sq. units

(c) 12 sq.
units

(d) 4 sq.
units

**Answer:**** c**

**13. **The area bounded by the parabola 4y = 3x^{2} and the line 2y = 3x + 12 is

(a) 28 sq.
units

(b) 27 sq.
units

(c) 54 sq.
units

(d) 30 sq.
units

**Answer: b**

**14. **The area of the region enclosed
by the line y = | x – 2 |, x = 1, x = 3 and x-axis is

(a) 4 sq.
units

(b) 3 sq.
units

(c) 2 sq.
units

(d) 1 sq.
unit

**Answer:**** d**

**15. **The area enclosed
by the lines |x| + |y| = 1 is

(a) 2 sq. unit

(b) 1 sq. units

(c) 2√2 sq. units

(d) 4 sq. units

**Answer: a**