JEE Questions for Maths Applications Of Integrals Quiz 1 - MCQExams.com

The area enclosed by the curves |y + x| ≤ 1, |y - x|≤ 1 and 2x2 + 2y2 = 1 is

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The area of the region bounded by 1 - y2 = |x| and |x| + |y|= 1 is
  • 1/3 sq units
  • 2/3 sq units
  • 4/3 sq units
  • 1 sq units
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 equal to
  • 3
  • 1
  • 2
  • 4
Area of the region bounded by two parabolas y = x2 and x = y2 is
  • 1/4
  • 1/3
  • 4
  • 3
The area bounded by the curves y = x and y = x3 is equal to
  • 0
  • 1/4
  • 1/2
  • 1
The area of the region enclosed by the curves y = x, x = e, y = 1/x and the positive X - axis is
  • 1 sq units
  • 3/2 sq units
  • 5/2 sq units
  • 1/2 sq units
If the area between y = mx2 and x = my2 (m >is 1/4 sq units, then the value of m is
  • ± 3√2
  • ± 2/√3
  • √2
  • √3
The area enclosed between y2 = x and y = x is
  • 2/3 sq units
  • 1/2 sq units
  • 1/3 sq units
  • 1/6 sq units
The area bounded by the curves y = cos x and y = sin x between the ordinates x = 0 and x = 3π/2 is
  • (4√2 - 2)sq units
  • (4√2 + 2)sq units
  • (4√2 -1)sq units
  • (4√2 + 1)sq units
The area (in sq units) of the plane region bounded by the curve x = y2 and the line y = -x is
  • 13/3
  • 2/5
  • 9/2
  • 5/2
  • 13/2
The area of the region bounded by the parabola (y - 2)2 = x - 1, the tangent to the parabola at the point (2,and the X - axis is
  • 6 sq units
  • 9 sq units
  • 12 sq units
  • 3 sq units
The area bounded between the parabola y2 = 4x and the line y = 2x - 4 is equal to
  • 17/3 sq units
  • 19/3 sq units
  • 9 sq units
  • 15 sq units
The area of the region bounded by the curves y = e x, y = loge x and lines x = 1, x = 2 is
  • (e - 1)2
  • e2 - e + 1
  • e2 - e + 1 - 2 loge 2
  • e2 + e - 2 loge 2
Area enclosed by the curve π[4(x - √2)2 + y2] = 8 is
  • π sq units
  • 2 sq units
  • 3π sq units
  • 4 sq units
The area bounded by the curve x = 4 - y2 and the Y - axis is
  • 16 sq units
  • 32 sq units
  • 32/3 sq units
  • 16/3 sq units
Area bounded by the lines y = x, x = -1, x = 2 and X - axis is
  • 5/2 sq units
  • 3/2 sq units
  • 1/7 sq units
  • None of the above
The area bounded by the curves y2 = 8x and x2 = 8y is
  • 64 sq units
  • 64/3 sq units
  • 8/3 sq units
  • None of these
The area bounded by the curve y = 2x - x2 and the line y = -x is
  • 3/2 sq units
  • 9/3 sq units
  • 9/2 sq units
  • None of these
The area (in sq units) enclosed between the parabola y = x2 - x + 2 and the line y = x + 2 equals
  • 8/3
  • 1/3
  • 2/3
  • 4/3
Area of the region satisfying x ≤ 2, y ≤ |x| and x ≥ 0 is
  • 4 sq units
  • 1 sq units
  • 2 sq units
  • None of these
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