The area bouned by y = x2 + 2, x-axis, x = 1 and x = 2 is from M

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 Multiple Choice QuestionsMultiple Choice Questions

141.

The area bounded by the curves y = x2, y = - x2 and y2 = 4x - 3 is k, then the value of 6k is

  • 2

  • 3

  • 0

  • 4


142.

The area (in square units) of the region bounded by x2 = 8y, x = 4 and X-axis, is

  • 23

  • 43

  • 83

  • 103


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143.

The area bouned by y = x2 + 2, x-axis, x = 1 and x = 2 is

  • 163

  • 173

  • 133

  • 203


C.

133

Given curve is,

x2 = y - 2, X-axis x = 1

Required area = Area of curve ABCD

= 12ydx = 12x2 + 2dx = x33 + 2x12= 83 + 4 - 13 + 2 = 203 - 73= 133 sq unit


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144.

The area (in square units) bounded by the curves y2 = 4x and x2 = 4y in the plane is

  • 83

  • 163

  • 323

  • 643


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145.

The area (in square unit) of the region enclosed by the curves y = x and y = x3 is

  • 112

  • 16

  • 13

  • 1


146.

The area (in sq unit) of the region bounded by the curves 2x = y2 - 1 and x = 0 is

  • 13

  • 23

  • 1

  • 2


147.

The area (in square units) of the region enclosed by the two circles x2 + y2 = 1 and (x - 1)2 + y2 = 1 is

  • 2π3 + 32

  • π3 + 32

  • π3 - 32

  • 2π3 - 32


148.

The values of a function f(x) at different values of x are as follows
x 0 1 2 3 4 5
f(x) 2 3 6 11 18 27

Then, the approximate area (in square units) bounded by the curve y = f(x) and x-axis between x = 0 and 5, using the Trapezoidal rule, is

  • 50

  • 75

  • 52.5

  • 62.5


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149.

The area (in square units) of the region bounded by the curves x = y2 and x = 3 - 2y2 is

  • 32

  • 2

  • 3

  • 4


150.

The area (in sq units) bounded by the curves y2 = 4x and x2 = 4y is

  • 643

  • 163

  • 83

  • 23


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