CBSE Class 12 Maths Chapter 8 Application of Integrals MCQs with Solutions: Download PDF

Maths Class 12 Application of Integrals MCQs: The Central Board of Secondary Education (CBSE) holds the final board exam for class 12, which is regarded as the most challenging and important exam in the country for a school student.

The format of the paper differs from subject to subject, but multiple-choice questions are asked in all exams. The question paper also consists of various types of questions like short answer, long-answer and descriptive. The objective MCQs have multiple choices given, which often confuses students, particularly in the mathematics exam.

It’s essential to practice the MCQs comprehensively beforehand so that you don’t make errors in the final exam, where it matters the most. Maths is a popular subject among CBSE Class 12 students, but it’s not easy. MCQs for Application of Integrals and other calculus chapters trouble students quite a lot.

On that note, we bring you the following multiple-choice questions for practice. From easy to difficult, all levels of questions are listed. You can check out the MCQs for CBSE Class 12 Maths Chapter 8 Application of Integrals below.

Related:

CBSE Class 12 Maths Chapter 7 Integrals MCQs with Solutions: Download PDF

MCQs for CBSE Class 12 Maths Chapter 8 Application of Integrals with Solutions

Question 1: The area of the region bounded by the curve x²= 4y and the straight line x = 4y – 2 is

(a) 3/8 sq. units

(b) 5/8 sq. units

(c) 7/8 sq. units

(d) 9/8 sq. units

Question 2: Consider the curves y² = 3x and x² = 3y

1. The points of intersection of the curves are (0,0) and (3,3).
2. The area of region bounded by the curves is 3 sq units.

Which of the above statement(s) is/are correct?

(a) Only 1

(b) Only 2

(c) Both 1 and 2

(d) Neither 1 nor 2

Related: CBSE Class 12 Mathematics Syllabus 2025-26: Download PDF

Question 3: 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) 256 sq. units

Question 4: Area of the region bounded by the curve y = cos x between x = 0 and x = π is

(a) 1 sq. units

(b) 2 sq. units

(c) 3 sq. units

(d) 4 sq. units

Also Check: NCERT Solutions for Class 12 Maths PDF: Updated for 2025-26

Question 5: 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) 3/2 sq units

(c) 6 sq units

(d) 8 sq units

Question 6: The area of the region bounded by the circle x² + y² = 1 is

(a) 2π sq. units

(b) 3π sq. units

(c) 4π sq. units

(d) 1π sq. units

Question 7:

Related: CBSE Class 12 Maths Sample Paper 2025-26, Download Model Paper PDF FREE

Question 8: The area of the figure bounded by the curve y = log_ex, the x-axis and the straight line x = e is

(a) 5-e

(b) 3+e

(c) 1

(d) None of these

Question 9: 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. unit

(d) 4 sq. unit

Question 10: The area bounded by the curves y=cosx, y=sinx, Y-axis and 0⩽x ⩽π/4 is _____ .

(a) 2(√2-1)

(b) √2-1

(c) √2+1

(d) √2

Answers

MCQs for CBSE Class 12 Maths Chapter 8 Application of Integrals with Solutions: Download PDF

Students can download PDF of multiple choice questions shared here. They can access all the important MCQs of CBSE Class 12 Maths Chapter 8 Application of Integrals with solutions from the link shared below. Since these questions are prepared by experts it will give a detailed insight to studenst who are looking to practice chapter wise equations.

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