Important Questions of Application of Integrals Mathematics | Zigya

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51.

The area bounded by the curves y = cos(x) and y = sin(x ) between the ordinates x = 0 and x = 3π/2

  • ( 4√2 - 2 ) sq units

  • ( 4√2 + 2 ) sq units

  • ( 4√2 - 1 ) sq units

  • ( 4√2 + 1 ) sq units


52.

The area of the region bounded by the curves x2 + y2 = 9 and x + y = 3 is


53.

The area in the first quadrant between x2 + y2π2 and y = sin(x) is


54.

The area bounded by y = xelxl and lines lxl = 1, y = 0 is,

  • 4 sq units

  • 6 sq units

  • 1 sq unit

  • 2 sq unit


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55.

For which of the following values of m, the area of the region bounded by the curve y = x - x2 and the line y = mx equals 9/2

  • - 4

  • - 2

  • 2

  • 4


56.

Area lying in the first quadrant and bounded by the circle x2 + y2 = 4, the line x = √3y and x - axis is

  • π sq units

  • π/2 sq units

  • π/3 sq units

  • None of these


57.

The area enclosed by y = 3x - 5, y = 0, x = 3 and x = 5 is

  • 12 sq units

  • 13 sq units

  • 1312 sq units

  • 14 sq units


58.

The area bounded by the curve y = | sin(x) |, x-axis and the lines | x | = π, is

  • 2 sq unit

  • 1 sq unit

  • 4 sq unit

  • None of these


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59.

The line x = π4 divides the area of the region bounded by y = sin(x), y = cos(x) and x - axis 0  x  π2 into two regions of areas A1 and A2. Then, A1 : A2 equals

  • 4 : 1

  • 3 : 1

  • 2 : 1

  • 1 : 1


60.

The area of the region bounded by the straight lines x = 0 and x = 2x and the curves y = 2 and y = 2x - x2 is equal to

  • 2log2 - 43

  • 3log2 - 43

  • 1log2 - 43

  • 4log2 - 32


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