If the area bounded by the parabola y = 2 - x2 and the line x + y

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 Multiple Choice QuestionsMultiple Choice Questions

71.

The area (in sq units) bounded by y = x2 + 3 and y = 2x + 3 is

  • 127

  • 43

  • 34

  • 83


72.

The area of the region bounded by y2 = 16 - x2, y = 0, x = 0 in the first quadrant is (in, square units)

  • 8π

  • 6π

  • 2π

  • 4π


73.

The area bounded by the lines y - 2x = 2, y = 4 and the (Y-axis is equal to in square units)

  • 1

  • 4

  • 0

  • 3


74.

The area bounded by the curves y = - x2 + 3 and y = 0 is

  • 3 + 1

  • 3

  • 43

  • 53


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75.

The area bounded by the parabolas y2 = 4ax and x2 = 4ay is :

  • 8a33 sq unit

  • 16a23 sq unit

  • 32a23 sq unit

  • 64a23 sq unit


76.

The area of the regior x, y : x2 + y2  1  x + y is :

  • π25 sq unit

  • π22 sq unit

  • π23 sq unit

  • π4 - 12 sq unit


77.

The area bounded by the curve y = sin(x) between the ordinates x = 0, x = π and tht x-axis is :

  • 2 sq unit

  • 4 sq unit

  • 1 sq unit

  • 3 sq unit


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78.

If the area bounded by the parabola y = 2 - x2 and the line x + y = 0 is A sq unit, then A equals:

  • 1/2

  • 1/3

  • 2/9

  • 9/2


D.

9/2

Required area

= - 122 - x2 + xdx= 2x - x33 + x222= 4 - 83 + 2 + 2 - 13 - 12= 92 sq unit


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79.

The area cut off by the latus rectum from the parabola y2 = 4ax is :

  • (8/3)a sq unit

  • (8/3) a sq unit

  • (3/8)a2 sq unit

  • (8/3)a3 sq unit


80.

The area between the curves y = xex and y = xe-x and the line x = 1, in sq unit, is :

  • 2e + 1e sq unit

  • 0 sq unit

  • 2e sq unit

  • 2e sq unit


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