NCERT MCQ CLASS-12 CHAPTER-8 | MATH NCERT MCQ | APPLICATION OF INTEGRALS | EDUGROWN

In This Post we are  providing Chapter-8 Application of Integrals NCERT MCQ for Class 12 Math which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS  can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.

NCERT MCQ ON APPLICATION OF INTEGRALS

Question 1.
The area of the region bounded by the y-axis, y = cos x and y = sin x, 0 ≤ x ≤ π2 is
(a) √2 sq. units
(b) (√2 + 1) sq. units
(c) (√2 – 1) sq. units
(d) (2√2 – 1) sq. units

Answer: (c) (√2 – 1) sq. units

Question 2.
The area of the region bounded by the curve x² = 4y and the straight line x = 4y – 2 is
(a) 38 sq. units
(b) 58 sq. units
(c) 78 sq. units
(d) 98 sq. units

Answer: (d) 98 sq. units

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) 256π sq. units

Answer: (a) 8π sq. units

Question 4.
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

Answer: (b) 4π sq. units

Question 5.
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

Answer: (a) 2 sq. units

Question 6.
The area of the region bounded by parabola y² = x and the straight line 2y = x is
(a) 43 sq. unit
(b) 1 sq. unit
(c) 23 sq. units
(d) 13 sq. units

Answer: (a) 43 sq. unit

Question 7.
The area of the region bounded by the curve y = sin x between the ordinates x = 0, x = π2 and the x-axis is
(a) 2 sq. units
(b) 4 sq. units
(c) 3 sq. units
(d) 1 sq. unit

Answer: (d) 1 sq. unit

Question 8.
The area of the region bounded by the ellipse x²25 + y²16 = 1 is
(a) 20π sq. units
(b) 20π² sq. units
(c) 16π² sq. units
(d) 25π sq. units

Answer: (a) 20π sq. units

Question 9.
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

Answer: (b) 7π sq. units

Question 10.
The area of the region bounded by the and the lines x = 2 and x = 3
(a) 72 sq. unit
(b) 92 sq. unit
(c) 112 sq. units
(d) 132 sq. units

Answer: (a) 72 sq. unit

Question 11.
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) 32 sq. units
(c) 6 sq. units
(d) 8 sq., units

Answer: (c) 6 sq. units

Question 12.
If y = 2 sin x + sin 2x for 0 ≤ x ≤ 2π, then the area enclosed by the curve and x-axis is
(a) 92 sq. units
(b) 8 sq. units
(c) 12 sq. units
(d) 4 sq. units

Answer: (c) 12 sq. units

Question 13.
The area bounded by the curve y = x² – 1 and the straight line x + y = 3 is
(a) 92 sq. units
(b) 4 sq. units
(c) 717√6 sq. units
(d) 1717√6 sq. units

Answer: (d) 1717√6 sq. units

Question 14.
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

Answer: (a) 4 sq. units

Question 15.
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

Answer: (b) 2 sq. unit

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