The area enclosed between the curves y = x3 and y = x i

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 Multiple Choice QuestionsMultiple Choice Questions

111.

The area between the parabola y = x2 and the line y = x is : 

  • 16 sq unit

  • 13 sq unit

  • 12 sq unit

  • None of these


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112.

The area enclosed between the curves y = x3 and y = x is, (in square units)

  • 53

  • 54

  • 512

  • 125


C.

512

Solving y = x or y= x,

y  0 and y = x3, we get

Points of intersection (0, 0) and (1, 1).

 Required area = 01x - x3dx                            = 512 sq units


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113.

The area included between the parabolas x2 = 4y and y2 = 4x is (in square units)

  • 43

  • 13

  • 163

  • 83


114.

The area of the figure bounded by the curves y = cos(x) and y = sin(x) and the coordinate x = 0 and x = π4

  • 2 + 1

  • 2 - 1

  • 12

  • 2 - 12


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115.

The area bounded by the parabola y2 = 4ax and the line x = a and x = 4a is

  • 35a23

  • 4a23

  • 7a23

  • 56a23


116.

The area of the region bounded by the curve 9x2 + 4y2 - 36 = 0 is

  • 9π

  • 5π

  • 36π

  • 6π


117.

The area enclosed between the parabola y = x2 - x + 2 and the line y = x + 2 in sq unit equals :

  • 83

  • 13

  • 23

  • 43


118.

The area bounded by the curve x = 4 - y2 and the Y-axis is

  • 16 sq units

  • 32 sq units

  • 323 sq units

  • 163 sq units


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119.

The area of the region bounded by y = 2x - x2 and the x-axis is

  • 83 sq unit

  • 43 sq unit

  • 73 sq unit

  • 23 sq unit


120.

The area bounded between the parabola y2 = 4x and the line y = 2x - 4 is equal to

  • 173 sq unit

  • 193 sq unit

  • 9 sq unit

  • 15 sq unit


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