Important Questions of Application of Integrals Mathematics | Zigya

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131.

Area bounded by the curve xy - 3x - 2y - 10 = 0, X-axis and the lines x = 3, x = 4 is

  • 16log2 - 13 sq unit

  • 16log2 - 3 sq unit

  • 16log2 + 3 sq unit

  • None of the above


132.

The measurement ofthe area bounded by the coordinate axes and the curve y = loge(x), is

  • 1

  • 2

  • 3


133.

The area common to the curves y2 = x and x2 = y will be

  • 1 sq unit

  • 23 sq unit

  • 14 sq unit

  • 13 sq unit


134.

Area common to the circle x2 + y2 = 64 and the parabola y2 = 12x is equal to

  • 1634π + 3

  • 1638π - 3

  • 1634π - 3

  • None of these


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135.

Area bounded by the curve y = x3, the x-axis and the ordinates x = - 2 and x = 1 is

  • - 9

  • - 154

  • 154

  • 174


136.

Find the area of the region {(x, y) : x2  y  x}

  • 13 sq unit

  • 43 sq unit

  • 23 sq unit

  • None of these


137.

Determine the area included between the curve y =2 cosx, 0  x  π2 and the axes.

  • π2

  • π3

  • 2π3

  • π4


138.

The area of the figure bounded by the curves y = x - 1 and y = 3 - x is

  • 1 sq units

  • 2 sq units

  • 3 sq units

  • 4 sq units


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139.

Area of the region bounded by the parabola y = x2 and the curve y = x is

  • 3

  • 13

  • 2

  • 12


140.

The curve, for which the area of the triangle formed by X-axis, the tangent line at any point P and line OP is equal to a, is given by

  • y = x - Cx2

  • x = Cy ± a2y

  • y = Cy ± a2x

  • None of these


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