Area between the curve y = cos(x) and X - axis, when 0 ≤&

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 Multiple Choice QuestionsMultiple Choice Questions

121.

The area bounded by the curve y = x2, x < 0x,  x  0 and the line y = 4, is

  • 323

  • 83

  • 403

  • 163


122.

The area bounded by the curve y = sinx3, x-axis and lines x = 0 and z = 3π is

  • 9

  • 0

  • 6

  • 3


123.

The area of the region bounded by the lines y = mx, x = 1, x = 2 and x-axis is 6 sq units, then 'm' is

  • 3

  • 1

  • 2

  • 4


124.

Area bounded by y = x3, y = 8 and x = 0 is

  • 12 sq units

  • 2 sq units

  • 6 sq units

  • 14 sq units


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125.

Area lying between the curves y2 = 2x and y = x is

  • 23 sq unit

  • 13 sq unit

  • 14 sq unit

  • 34 sq unit


126.

The area of the region bounded by the curve y = x2 and the line y = 16

  • 643 sq unit

  • 323 sq unit

  • 2563 sq unit

  • 1283 sq unit


127.

Area of the region bounded by the curve y = cos(x), x = 0 and x = π is

  • 4 sq unit

  • 3 sq units

  • 1 sq units

  • 2 sq units


128.

The area bounded by the curves y2 - x = 0 and y - x2 = 0, is

  • 7/3 sq unit

  • 1/3 sq unit

  • 5/3 sq unit

  • 1 sq unit


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129.

Area between the curve y = cos(x) and X - axis, when 0  x  2π, is

  • 0 sq units

  • 2 sq units

  • 3 sq units

  • 4 sq units


D.

4 sq units

Required area = 02πcosxdx = 40π2cosxdx                       = 4sinx0π2                       = 4sinπ2 - sin0 = 4 sq units


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130.

The area bounded by the X - axis, the curve y = f(x) and the lines x = 1, x = b and is equal to b2 + 1 - 2 for all b > 1, then f(x) is

  • x - 1

  • x + 1

  • x2 + 1

  • x1 + x2


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