JEE Questions for Maths Applications Of Integrals Quiz 4 - MCQExams.com

The area of the region bounded by curves y = x log x and y = 2x - 2x2 is
  • 1/2 sq units
  • 3/12 sq units
  • 7/12 sq units
  • None of these
If f(x) is continuous function such that the area bounded by the curve y = f(x), the X - axis and the lines x = a and x = 0 is
Maths-Applications of Integrals-11103.png
  • 1/2
  • a/2
  • a2/2
  • π/2
The line x = π/4 divides the area of the region bounded by y = sin x, y = cos x and X - axis (0 ≤ x ≤ π/into two regions of areas A1 and A2. Then, A1 : A2 equals to
  • 4 : 1
  • 3 : 1
  • 2 : 1
  • 1 : 1
The area bounded by the curve y = x|x|, X - axis and the ordinates x = 1, x = -1 is given by
  • 0
  • 1/3
  • 2/3
  • None of these

Maths-Applications of Integrals-11104.png

  • Maths-Applications of Integrals-11105.png
  • 2)
    Maths-Applications of Integrals-11106.png

  • Maths-Applications of Integrals-11107.png

  • Maths-Applications of Integrals-11108.png
The area of the plane region bounded by the curves x + 2y2 = 0 and x + 3y2 = 1 is equal to
  • 4/3 sq units
  • 5/3 sq units
  • 1/3 sq units
  • 2/3 sq units
The area ( in sq units ) of the region bounded by the curves 2x = y2 - 1 and x = 0 is
  • 1/3 sq units
  • 2/3 sq units
  • 1 sq units
  • 2 sq units
The area bounded by the curve y = 1/2 x2, the X-axis and the ordinate x = 2 is
  • 1/3 sq units
  • 2/3 sq units
  • 1 sq units
  • 4/3 sq units
The area of the region bounded by y = 2x - x2 and the X - axis is
  • 8/3 sq units
  • 4/3 sq units
  • 7/3 sq units
  • 2/3 sq units

Maths-Applications of Integrals-11109.png

  • Maths-Applications of Integrals-11110.png
  • 2)
    Maths-Applications of Integrals-11111.png

  • Maths-Applications of Integrals-11112.png

  • Maths-Applications of Integrals-11113.png
  • None of these
The area enclosed between the curve y = 1 + x2, the Y - axis and the straight line y = 5 is given by
  • 14/3 sq units
  • 7/3 sq units
  • 5 sq units
  • 16/3 sq units
The area bounded by the curves y2 = 4a2 (x -and lines x = 1 and y = 4a is
  • 4a2 sq units
  • 16a/3 sq units
  • 16a/3 sq units
  • None of these
The area bounded by the curve y2 (2a - x) = x3 and the line x = 2a is
  • 3πa2 sq units
  • 3πa2/2 sq units
  • 3πa2/4 sq units
  • 6πa2/5 sq units
The area (in sq units) bounded by the curves 4y = x2 and 2y = 6 - x2 is
  • 8
  • 6
  • 4
  • 10
The area of the region bounded by the straight lines x = 0 and x = 2 and the curves y = 2x and y = 2x - x2 is equal to

  • Maths-Applications of Integrals-11114.png
  • 2)
    Maths-Applications of Integrals-11115.png

  • Maths-Applications of Integrals-11116.png

  • Maths-Applications of Integrals-11117.png
The area of the region bounded by the curves y = |x - 2|, x = 1,x = 3 and the X - axis is
  • 1
  • 2
  • 3
  • 4
The area bounded by the parabola y2 = 8x and its latusrectum is
  • 16/3 sq units
  • 32/3 sq units
  • 8/3 sq units
  • 64/3 sq units
  • 4/3 sq units
The area of the smaller segment cut off from the circle x2 + y2 = 9 by x = 1 is

  • Maths-Applications of Integrals-11120.png
  • 2)
    Maths-Applications of Integrals-11121.png

  • Maths-Applications of Integrals-11122.png
  • None of these
Area bounded by y2 = x y = 0, x = 1, x = 4 is

  • Maths-Applications of Integrals-11123.png
  • 2)
    Maths-Applications of Integrals-11124.png

  • Maths-Applications of Integrals-11125.png

  • Maths-Applications of Integrals-11126.png
The area (in sq unit) of the region enclosed by the curves y = x2 and y = x 3 is
  • 1/12
  • 1/6
  • 1/3
  • 1
0:0:1


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