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NCERT Solutions for class 12 Maths | Chapter 8 - Application of Integrals

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Free download in PDF Class 12 Maths Chapter 8 Application of Integrals Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>

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(1) 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: 2 sq. units
(2) 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: 7π sq. units

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(3) 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: 2 sq. unit
(4) 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
Answer: 2 sq. units
(5) Area bounded between the parabola y² = 4ax and its latus rectum is
[A] 1/3 a sq. units
[B] 1/3 a² sq. units
[C] 8/3 a sq. units
[D] 8/3 a² sq. units
Answer: 8/3 a² sq. units
(6) 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: 4π sq. units
(7) The area of the region bounded by the curve y = sin x between the ordinates x = 0, x = π/2 and the x-axis is
[A] 2 sq. units
[B] 4 sq. units
[C] 3 sq. units
[D] 1 sq, unit
Answer: 1 sq, unit
(8) 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] 3/2 sq. units
[C] 6 sq. units
[D] 8 sq, units
Answer: 6 sq. units
(9) TArea 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: 4 sq. units
(10) 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
Answer: 1 sq. unit
(11) The area bounded by the curve 2x² + y² = 2 is
[A] π sq. units
[B] √2π sq. units
[C] π/2 sq. units
[D] 2π sq. units
Answer: √2π sq. units
(12) Area of the ellipse 1 is
[A] 4π ab sq. units
[B] 2π ab sq. units
[C] π ab sq. units.
[D] πab/2 sq. units
Answer: π ab sq. units.
(13) 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
Answer: 9/8 sq. units
(14) The area of the region bounded by the ellipse is
[A] 20π sq. units
[B] 20π² sq. units
[C] 16π² sq. units
[D] 25π sq. units
Answer: 20π sq. units
(15) The area of the region bounded by the and the lines x = 2 and x = 3
[A] 7/2 sq. unit
[B] 9/2 sq. unit
[C] 11/2 sq. units
[D] 13/2 sq. units
Answer: 7/2 sq. unit
(16) The area of the region bounded by parabola y² = x and the straight line 2y = x is
[A] 4/3 sq. unit
[B] 1 sq. unit
[C] 2/3 sq. units
[D] 1/3 sq. units
Answer: 4/3 sq. unit
(17) The area of the region bounded by the curve y = and x-axis is
[A] 8π sq.units
[B] 20π sq. units
[C] 16π sq. units
[D] 256π sq. units
Answer: 8π sq.units
(18) The area of the region bounded by the y-axis, y = cos x and y = sin x, 0 ≤ x ≤ π/2 is
[A] √2 sq.units
[B] (√2 + 1) sq. units
[C] (√2 – 1) sq. units
[D] (2√2 – 1) sq.units
Answer: (√2 – 1) sq. units
(19) If y = 2 sin x + sin 2x for 0 ≤ x ≤ 2π, then the area enclosed by the curve and x-axis is
[A] 9/2 sq. units
[B] 8 sq. units
[C] 12 sq. units
[D] 4 sq. unjts
Answer: 12 sq. units
(20) Tne area bounded by the curve y = x² – 1 and the straight line x + y = 3 is
[A] 9/2 sq. units
[B] 4 sq. units
[C] 7√17/6 sq. units
[D] 17√17/6 sq. units
Answer: 17√17/6 sq. units

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