JEE Questions for Maths Applications Of Integrals Quiz 3 - MCQExams.com

Area bounded by the curve x = 0 and x + 2|y| = 1 is
  • 1/4
  • 1/2
  • 1
  • 2
The area (in sq units) of the region bounded by x = - 1, x = 2, y = x2 + 1 and y = 2x - 2 is
Maths-Applications of Integrals-11076.png
  • 10
  • 7
  • 8
  • 9
The area enclosed between the curves y = x3 and y = √x is
  • 5/3
  • 5/4
  • 5/12
  • 12/5
The area enclosed by the curves y = sinx + cos x and y = |cos x - sin x| over the interval [0, π/2] is
  • 4(√2 - 1)
  • 2√2(√2 - 1)
  • 2(√2 + 1)
  • 2√2(√2 + 1)
The area (in sq units) bounded by the curves y = √x, 2y - x + 3 = 0, X - axis and lying in the first quadrant is
  • 9
  • 6
  • 18
  • 27/4
The area (in sq units) of the region bounded by the curves y2 = 4ax and x2 = 4ay, a > 0 is

  • Maths-Applications of Integrals-11079.png
  • 2)
    Maths-Applications of Integrals-11080.png

  • Maths-Applications of Integrals-11081.png

  • Maths-Applications of Integrals-11082.png
  • None of these

Maths-Applications of Integrals-11084.png

  • Maths-Applications of Integrals-11085.png
  • 2)
    Maths-Applications of Integrals-11086.png

  • Maths-Applications of Integrals-11087.png
  • None of these
The area bounded by the curves y = ex, y = e-x, the ordinates x = 0 and x = 1 is given by
  • e + e-1 - 2
  • e - e-1
  • e + e-1
  • e + e-1 + 2

Maths-Applications of Integrals-11088.png

  • Maths-Applications of Integrals-11089.png
  • 2)
    Maths-Applications of Integrals-11090.png

  • Maths-Applications of Integrals-11091.png

  • Maths-Applications of Integrals-11092.png
The area bounded between the parabolas x2 = y/4 and x2 = 9y and the straight line y = 2 is

  • Maths-Applications of Integrals-11093.png
  • 2)
    Maths-Applications of Integrals-11094.png

  • Maths-Applications of Integrals-11095.png

  • Maths-Applications of Integrals-11096.png
The area of the region bounded by the curves y = x3, y = 1/x, x = 2 is
  • 4 - loge 2
  • 1/4 + loge 2
  • 3 - loge 2
  • 15/3 - loge 2
If the straight line x = b divide the area enclosed by y = (1 - x)2, y = 0 and x = 0 into two parts R1 (0 ≤ x ≤ b) and R2 (b ≤ x ≤such that R1 - R2 = 1/4. Then, b equals
  • 3/4
  • 1/2
  • 1/3
  • 1/4
The area in the positive quadrant enclosed by the circle x2 + y2 = 4, the line x = y √3 and X - axis is
  • π/2
  • π/4
  • π/3
  • π
Find the area of a curve xy = 4, bounded by the lines x = 1 and x = 3 and X - axis
  • log 12
  • log 64
  • log 81
  • log 27
The area (in sq units) bounded by the curve y = 1 + loge x, the X - axis and the straight line x = e is equal to
  • 3e - 2
  • e
  • e - 1/e
  • e + 1/e
The area enclosed by y = 3x - 5, y = 0, x = 3 and x = 5 is
  • 12 sq units
  • 13 sq units
  • 13 1/2 sq units
  • 14 sq units
The area of the region bounded by the curves y2 = x and y = |x| is
  • 1/3 sq units
  • 1/6 sq units
  • 2/3 sq units
  • 1 sq units

Maths-Applications of Integrals-11097.png

  • Maths-Applications of Integrals-11098.png
  • 2)
    Maths-Applications of Integrals-11099.png

  • Maths-Applications of Integrals-11100.png

  • Maths-Applications of Integrals-11101.png
The given figure shows a ∆AOB and the parabola y = x2. The ration of the area of the ∆AOB to the area of the region AOB of the parabola y = x2 is equal to
Maths-Applications of Integrals-11102.png
  • 3/5
  • 3/4
  • 7/8
  • 5/6
  • 2/3
The area bounded by = |sin x|, X - axis and the lines |x| = π is
  • 2 sq units
  • 3 sq units
  • 4 sq units
  • None of these
0:0:1


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