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

MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals with Answers Set-A 

MCQ Questions for Class12 Maths Chapter 8 Application of Integrals

Application of Integrals Class 12 Maths MCQs Questions with Answers

Check the below NCERT MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have Provided Application of Integrals Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

Class 12 Maths Chapter 8 Quiz

Class 12 Maths Chapter 8 MCQ Online Test


You can refer to NCERT Solutions for Class 12 Maths Chapter 8 Application of Integrals to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Application of Integrals Class 12 Maths MCQ online test

Q1. The area of the region bounded by the y-axis, y = cos x and y = sin x, 0 ≤ x ≤ \(\frac{π}{2}\) is
A. √2 sq.units
B. (√2 + 1) sq. units
C. (√2 – 1) sq. units
D. (2√2 – 1) sq.units
Ans: (√2 – 1) sq. units
Q2. The area of the region bounded by the curve x² = 4y and the straight line x = 4y – 2 is
A. \(\frac{3}{8}\) sq.units
B. \(\frac{5}{8}\) sq.units
C. \(\frac{7}{8}\) sq.units
D. \(\frac{9}{8}\) sq. units
Ans: \(\frac{9}{8}\) sq. units
Q3. The area of the region bounded by the curve y = \(\sqrt{16-x^2}\) and x-axis is
A. 8π sq.units
B. 20π sq. units
C. 16π sq. units
D. 256π sq. units
Ans: 8π sq.units
Q4. 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
Ans: 4π sq. units
Q5. 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
Ans: 2 sq. units
Q6. The area of the region bounded by parabola y² = x and the straight line 2y = x is
A. \(\frac{4}{3}\) sq. unit
B. 1 sq. unit
C. \(\frac{2}{3}\) sq. units
D. \(\frac{1}{3}\) sq. units
Ans: \(\frac{4}{3}\) sq. unit
Q7. The area of the region bounded by the curve y = sin x between the ordinates x = 0, x = \(\frac{π}{2}\) and the x-axis is
A. 2 sq. units
B. 4 sq. units
C. 3 sq. units
D. 1 sq, unit
Ans: 1 sq, unit
Q8. The area of the region bounded by the ellipse \(\frac{x²}{25}\) + \(\frac{y²}{16}\) = 1 is
A. 20π sq. units
B. 20π² sq. units
C. 16π² sq. units
D. 25π sq. units
Ans: 20π sq. units
Q9. 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
Ans: 7π sq. units
Q10. The area of the region bounded by the and the lines x = 2 and x = 3
A. \(\frac{7}{2}\) sq. unit
B. \(\frac{9}{2}\) sq. unit
C. \(\frac{11}{2}\) sq. units
D. \(\frac{13}{2}\) sq. units
Ans: \(\frac{7}{2}\) sq. unit
Q11. 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. \(\frac{3}{2}\) sq. units
C. 6 sq. units
D. 8 sq, units
Ans: 6 sq. units
Q12. If y = 2 sin x + sin 2x for 0 ≤ x ≤ 2π, then the area enclosed by the curve and x-axis is
A. \(\frac{9}{2}\) sq. units
B. 8 sq. units
C. 12 sq. units
D. 4 sq. unjts
Ans: 12 sq. units
Q13. Tne area bounded by the curve y = x² – 1 and the straight line x + y = 3 is
A. \(\frac{9}{2}\) sq. units
B. 4 sq. units
C. \(\frac{7\sqrt{17}}{6}\) sq. units
D. \(\frac{17\sqrt{17}}{6}\) sq. unjts
Ans: \(\frac{17\sqrt{17}}{6}\) sq. unjts
Q14. Area bounded by the lines y = |x| – 2 and y = 1 – |x – 1| is equal to
A. 4 sq. units
B. 6 sq. units
C. 2 sq. units
D. 8 sq. units
Ans: 4 sq. units
Q15. The area bounded by the lines y = |x| – 1 and y = -|x| + 1 is
A. 1 sq. unit
B. 2 sq. unit
C. 2√2 sq. units
D. 4 sq. units
Ans: 2 sq. unit
Q16. The area of the region bounded by the line y = | x – 2 |, x = 1, x = 3 and x-axis is
A. 4 sq. units
B. 2 sq, units
C. 3 sq. units
D. 1 sq. unit
Ans: 1 sq. unit
Q17. Area bounded by the ellipse \(\frac{x^2}{4}\) + \(\frac{y^2}{9}\) = 1 is
A. 6π sq. units
B. 3π sq. units
C. 12π sq. units
D. None of these
Ans: 6π sq. units
Q18. Area of triangle whose two vertices formed from the x-axis and line y = 3 – |x| is,
A. 9 sq. units
B. \(\frac{3}{2}\) sq. units
C. 3 sq. units
D. None of these
Ans: None of these
Q19. The area of ellipse \(\frac{x^2}{4^2}\) + \(\frac{y^2}{9^2}\) = 1 is
A. 6π sq. units
B. \(\frac{π(a^2+b^2)}{4}\) sq. units
C. π(a + b) sq. units
D. None of these
Ans: None of these
Q20. The area bounded by the lines |x| + |y| = 1 is
A. 1 sq. unit
B. 2 sq. units
C. 2√2 sq. units
D. 4 sq. units
Ans: 2 sq. units

MCQ Questions for Class 12 Maths


NCERT Solution of Maths Class 12


Class 12 Maths

NCERT Solution of Maths Class 12 Chapter 1

    MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-A
    MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-B
    MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-C

NCERT Solution of Maths Class 12 Chapter 2

    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-A
    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-B
    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-C
    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-D

NCERT Solution of Maths Class 12 Chapter 3

    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-A
    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-B
    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-C
    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-D

NCERT Solution of Maths Class 12 Chapter 4

    MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-A
    MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-B
    MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-C

NCERT Solution of Maths Class 12 Chapter 5

    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-A
    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-B
    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-C
    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-D

NCERT Solution of Maths Class 12 Chapter 6

    MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-A
    MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-B
    MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-C

NCERT Solution of Maths Class 12 Chapter 7

    MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-A
    MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-B
    MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-C

NCERT Solution of Maths Class 12 Chapter 8

    MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals Set-A
    MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals Set-B

NCERT Solution of Maths Class 12 Chapter 9

    MCQ Questions for Class 12 Maths Chapter 9 Differential Equations Set-A
    MCQ Questions for Class 12 Maths Chapter 9 Differential Equations Set-B

NCERT Solution of Maths Class 12 Chapter 10

    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-A
    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-B
    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-C
    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-D

NCERT Solution of Maths Class 12 Chapter 11

    MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry Set-A
    MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry Set-B

NCERT Solution of Maths Class 12 Chapter 12

    MCQ Questions for Class 12 Maths Chapter 12 Linear Programming Set-A

NCERT Solution of Maths Class 12 Chapter 13

    MCQ Questions for Class 12 Maths Chapter 13 Probability Set-A
    MCQ Questions for Class 12 Maths Chapter 13 Probability Set-B

NCERT SOLUTIONS FOR CLASS 12

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