The area (in sq.units) of the region A = x, y :&nb

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 Multiple Choice QuestionsMultiple Choice Questions

81.

The area of the region bounded by y2 = 4ax and x2 = 4ay, a > 0 in sq unit, is :

  • 16a23

  • 14a23

  • 13a23

  • 16a2


82.

The area (in sq. units) of the region A = x, y  R × R | 0  x  3, 0  y  4, y  x2 + 3x is :

  • 596

  • 536

  • 8

  • 263


83.

Let Sα = x, y : y2  x, 0  x  α and Aαis area of the region Sα. If for a λ, 0 n< λ < 4, Aλ : A4 = 2 : 5, then λ equals :

  • 242513

  • 442513

  • 22513

  • 42513


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84.

The area (in sq.units) of the region A = x, y : y22  x  y +4 is

  • 18

  • 16

  • 533

  • 30


A.

18

A = - 24y + 4 - y22dy = 18


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85.

The area (in sq. units) of the region {9x, y) : x2  y  x + 2} is :

  • 92

  • 103

  • 136

  • 316


86.

The area (in sq.units ) of the region bounded by the curves y = 2x and y = x + 1,in the first quadrant is:

  • 32 - 1loge2

  • loge2 +32

  • 12

  • 32


87.

Area bounded by the lines y = x, x = - 1, x = 2 and x - axis is

  • 5/2 sq unit

  • 3/2 sq unit

  • 1/2 sq unit

  • None of the above


88.

The volume of solid generated by revolving about the y-axis the figure bounded by the parabola y = x and x = y2 is

  • 215π

  • 245π

  • 215π

  • 524π


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89.

Area bounded between the curve x2 = y and the line y = 4x is

  • 323 sq unit

  • 13 sq unit

  • 83 sq unit

  • 163 sq unit

     


90.

The volume of the solid formed by rotating the area enclosed between the curve y2 = 4x, x = 4 and x = 5 about x-axis is (in cubic units)

  • 18π

  • 36π

  • 9π

  • 24π


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