JEE Questions for Maths Applications Of Integrals Quiz 2 - MCQExams.com

The parabola y2 = 4x and x2 = 4y divided the square region bounded by the lines x = 4y, y = 4 and the coordinate axes. If S1, S2, S3 are respectively the areas of these parts numbered from top to bottom, then S1 : S2 : S3 is equal to
  • 1 : 1 : 1
  • 2 : 1 : 2
  • 1 : 2 : 3
  • 1 : 2 : 1
If f(x) is a non - negative continuous function such that the area bounded by the curve y = f(x), X - axis and the cordinates
Maths-Applications of Integrals-11042.png

  • Maths-Applications of Integrals-11043.png
  • 2)
    Maths-Applications of Integrals-11044.png

  • Maths-Applications of Integrals-11045.png

  • Maths-Applications of Integrals-11046.png
Area bounded by the curve y2 = 16x and line y = mx is 2/3, then m is equal to
  • 3
  • 4
  • 1
  • 2
Area bounded by the curve y = loge x, x = 0, y ≤ 0 and X – axis is
  • 1 sq units
  • 1/2 sq unit
  • 2 sq units
  • None of these
The area enclosed within the curve |x| + |y| = 1 is
  • 1 sq unit
  • 2√2 sq units
  • √2 sq units
  • 2 sq units
Area bounded by the curves y = x2 and y = 2- x2 is
  • 8/3 sq units
  • 3/8 sq unit
  • 3/2 sq units
  • None of these
The area of the region bounded by the curve 9x2 + 4y2 - 36 = 0 is
  • 9π sq units
  • 4π sq units
  • 36π sq units
  • 6π sq units
The area (in sq units) bounded by the curves y2 = 4x and x2 = 4y in the plane is
  • 8/3
  • 16/3
  • 32/3
  • 64/3
The area cut off by the latusrectum from the parabola y2 = 4ax is
  • (8/a sq units
  • (8/√a sq units
  • (3/a2 sq unit
  • (8/a2 sq unit

Maths-Applications of Integrals-11047.png
  • 1 : 1
  • 2 : 1
  • 1 : 2
  • None of these
The volume of the solid generated by revolving the figure bounded by the parabola y = x2 and x = y2 the Y - axis
  • (21/π
  • (24/π
  • 3π/10
  • (5/π
The length of the parabola y2 = 12x cut off by the latusrectum is

  • Maths-Applications of Integrals-11048.png
  • 2)
    Maths-Applications of Integrals-11049.png

  • Maths-Applications of Integrals-11050.png

  • Maths-Applications of Integrals-11051.png
The volume of the solid generated by revolving the region bounded by y = x2 + 1 and y = 2x + 1 about X - axis is
  • 104π/15 cu units
  • 42π/15 cu units
  • 52π/15 cu units
  • None of these

Maths-Applications of Integrals-11052.png

  • Maths-Applications of Integrals-11053.png
  • 2)
    Maths-Applications of Integrals-11054.png

  • Maths-Applications of Integrals-11055.png

  • Maths-Applications of Integrals-11056.png
The area of the region described by A = {(x,y) : x2 + y2 ≤ 1 and y2 ≤ 1 - x} is

  • Maths-Applications of Integrals-11057.png
  • 2)
    Maths-Applications of Integrals-11058.png

  • Maths-Applications of Integrals-11059.png

  • Maths-Applications of Integrals-11060.png
The area bounded by the curves y = -√-x and x = - √-y, where x, y ≤ 0, is
  • 1/3
  • 1/4
  • 1/5
  • 1/2
The area in the first quadrant between x2 + y2 = π2 and y = sin x is

  • Maths-Applications of Integrals-11062.png
  • 2)
    Maths-Applications of Integrals-11063.png

  • Maths-Applications of Integrals-11064.png

  • Maths-Applications of Integrals-11065.png
The area bounded y = xe|x| and line |x| = 1, y = 0 is
  • 4 sq units
  • 6 sq units
  • 1 sq units
  • 2 sq units
The area bounded by y = x|sin x| and X - axis between x = 0, x = 2π is
  • 2 π sq units
  • 3 π sq units
  • π sq units
  • 4π sq units
Area (in sq units ) bounded by the curves y = ex, y = e-x and the straight linex = 1 is

  • Maths-Applications of Integrals-11069.png
  • 2)
    Maths-Applications of Integrals-11070.png

  • Maths-Applications of Integrals-11071.png

  • Maths-Applications of Integrals-11072.png

  • Maths-Applications of Integrals-11073.png
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