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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 ellipse is
[A] 4πab sq.units
[B] 2πab sq.units
[C] πab sq.units
[D] πab/2 sq.units
Answer: πab sq.units
(2) 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

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(3) The area of the ellipse is
[A] 6π sq. units
[B] π(a2+b2)/4 sq. units
[C] p(a + b) sq. units
[D] none of these
Answer: none of these
(4) 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. units
Answer: 12 sq. units
(5) Area of the region between the curves x2 + y2 = π2, y = sin x and y-axis in first quadrant is
[A] sq. units
[B] sq. units
[C] sq. units
[D] sq. units
Answer: sq. units
(6) The area included between the curves x2 = 4by and y2 = 4ax
[A] 16ab sq. units
[B] 16ab/3 sq. units
[C] 4ab sq. units
[D] 16πab sq. units
Answer: 16ab/3 sq. units
(7) Find the area enclosed by the parabola 4y = 3x2 and the line 2y = 3x + 12.
[A] 27 sq. units
[B] 28 sq. units
[C] 54 sq. units
[D] 30 sq. units
Answer: 27 sq. units
(8) The area lying above x-axis and included between the circle x2 + y2 = 8x and inside of parabola y2 = 4x is
[A] 1/3 (2 + 3π) sq. units
[B] 2/3 (4 + 3π) sq. units
[C] (6 + 3π) sq. units
[D] 4/3 (8 + 3π) sq. units
Answer: 4/3 (8 + 3π) sq. units
(9) The area of smaller portion bounded by |y| = -x + 1 and y2 = 4x is
[A] 1 sq. units
[B] 2 sq. units
[C] 3 sq. units
[D] none of these
Answer: none of these
(10) The area bounded by the line y = 2x – 2, y = -x and x-axis is given by
[A] 9/2 sq. units
[B] 43/6 sq. units
[C] 35/6 sq. units
[D] None of these
Answer: None of these
(11) The area bounded by the lines y = |x – 1| and y = 3 – |x| is
[A] 2 sq. units
[B] 3 sq. units
[C] 4 sq. units
[D] 6 sq. units
Answer: 4 sq. units
(12) Area bounded by the lines y = |x| 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
(13) The ratio in which the x-axis divides the area of the region bounded by the curves y = x2 – 4x and y = 2x – x2
[A] 4 : 23
[B] 4 : 27
[C] 4 : 19
[D] none of these
Answer: 4 : 23
(14) The area enclosed by the curve y = √x and x = -√y , the circle x2 + y2 = 2 above the x-axis is
[A] π/4 sq. units
[B] 3π/2 sq. units
[C] π sq. units
[D] π/2 sq. units
Answer: π/2 sq. units
(15) The area enclosed between the graph of y = x3 and the lines x = 0, y = 1, y = 8 is
[A] 45/4
[B] 14
[C] 7
[D] none of these
Answer: 45/4
(16) The area bounded by the curve x2 = 4y = 4y + 4 and line 3x + 4y = 0 is
[A] 0 sq. units
[B] 125/8 sq. units
[C] 125/16 sq. units
[D] 125/24 sq. units
Answer: 125/24 sq. units
(17) The area bounded by y= is
[A] 4/3 sq. units
[B] 13/2 sq. units
[C] 12/5 sq. units
[D] 42/5 sq. units
Answer: 4/3 sq. units
(18) The area bounded by the curves x + 2y2 = 0 and x + 3y2 = 1 is
[A] 1 sq. units
[B] 1/3 sq. units
[C] 2/3 sq. units
[D] 4/3 sq. units
Answer: 4/3 sq. units
(19) The area bounded by the lines y = 4x + 5, y = 5 – x and 4y = x + 5 is
[A] 15/2 sq. units
[B] 92 sq. units
[C] 13/2 sq. units
[D] None of these
Answer: 15/2 sq. units
(20) The area enclosed by the parabola y2 = 2x and tangents through the point (-2, 0) is
[A] 3 sq. units
[B] 4 sq. units
[C] 4/3 sq. units
[D] 8/3 sq. units
Answer: 8/3 sq. units

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