JEE Questions for Maths Definite Integrals Quiz 6 - MCQExams.com

The area bounded by the curves y2 = 8x and x2 = 8y is
  • 64/3 sq.unit
  • 16/3 unit
  • 32/3 unit
  • None of these
The area bounded by the curves y2 = 8x and y = x is

  • Maths-Definite Integrals-19857.png
  • 2)
    Maths-Definite Integrals-19858.png

  • Maths-Definite Integrals-19859.png
  • 32 sq.unit
The area of the region bounded by the curves y = x2 and y = |x| is
  • 1/6
  • 1/3
  • 5/6
  • 5/3
The volume of the solid formed by rotating the area enclosed between the curve y = x2 and the line y = 1 about y = 1 is (in cubic units)
  • 9π/5
  • 4π/3
  • 8π/3
  • 7π/3
The part of circle x2 + y2 = 9 in between y = 0 and y = 2 is revolved about y-axis. The volume of generating solid will be

  • Maths-Definite Integrals-19863.png
  • 12π
  • 16π
  • 28π
The area of the region bounded by the curve y = x|x|, x-axis and the ordinates x = 1, x = –1 is given by
  • zero
  • 2)
    Maths-Definite Integrals-19865.png

  • Maths-Definite Integrals-19866.png
  • 1
The area bounded by the curves y2 = 2x + 1 and x = y + 1 is

  • Maths-Definite Integrals-19868.png
  • 2)
    Maths-Definite Integrals-19869.png

  • Maths-Definite Integrals-19870.png

  • Maths-Definite Integrals-19871.png
The area bounded by the curves y = √x, 2y + 3 = x and x-axis in the 1st quadrant is
  • 9
  • 2)
    Maths-Definite Integrals-19873.png
  • 36
  • 18
The area enclosed between the curve y = loge (x + e) and the co-ordinate axes is
  • 3
  • 4
  • 1
  • 2
The area of the region bounded by the curve 9x2 + 4y2 – 36 = 0 is
  • 9π
  • 4π
  • 36π
  • 6π
Area bounded by curves y = x2 and y = 2 – x2 is
  • 8/3
  • 3/8
  • 3/2
  • None of these
The area enclosed between the parabola y = x2 – x + 2 and the line y = x + 2 in sq.units equals
  • 8/3
  • 1/3
  • 2/3
  • 4/3
Area (in square units) enclosed by y = 1; 2x + y = 2 and x + y = 2 is
  • 1/2
  • 1/4
  • 1
  • 2
The area (in sq. unit) of the region bounded by the curves 2x = y2 – 1 and x = 0 is
  • 1/3
  • 2/3
  • 1
  • 2
Area bounded by the curve y = loge x, x = 0, y ≤ 0 and x-axis is
  • 1
  • 1/2
  • 2
  • None of these
The area bounded by the curve y = 1/2 x2, the x-axis and the ordinate is x = 2
  • 1/3 sq.units
  • 2/3 sq.units
  • 1 sq.units
  • 4/3 sq.units
The area of the loop of the curve y2 = x2 (1 – x) is
  • 15/8
  • 4/15
  • 8/15
  • None of these
The area bounded by the curves 4y = x2 and 2y = 6 – x2 is
  • 8
  • 6
  • 4
  • 10
Area bounded by the curve y2 = x and x = 3/4 y2 + 1 is
  • 4
  • 8/3
  • 6
  • 16/3

Maths-Definite Integrals-19886.png
  • 0
  • 2)
    Maths-Definite Integrals-19887.png

  • Maths-Definite Integrals-19888.png

  • Maths-Definite Integrals-19889.png

Maths-Definite Integrals-19891.png

  • Maths-Definite Integrals-19892.png
  • 2)
    Maths-Definite Integrals-19893.png

  • Maths-Definite Integrals-19894.png
  • 0

Maths-Definite Integrals-19896.png
  • log 3
  • 2)
    Maths-Definite Integrals-19897.png
  • log 9
  • None of these

Maths-Definite Integrals-19899.png

  • Maths-Definite Integrals-19900.png
  • 2)
    Maths-Definite Integrals-19901.png

  • Maths-Definite Integrals-19902.png
  • None of these

Maths-Definite Integrals-19904.png
  • 2
  • –1
  • 0
  • 1

Maths-Definite Integrals-19906.png
  • 1
  • 2)
    Maths-Definite Integrals-19907.png
  • 0
  • None of these

Maths-Definite Integrals-19909.png

  • Maths-Definite Integrals-19910.png
  • log 3

  • Maths-Definite Integrals-19911.png
  • None of these

Maths-Definite Integrals-19913.png
  • π + 2
  • 2)
    Maths-Definite Integrals-19914.png
  • π + 1
  • None of these

Maths-Definite Integrals-19916.png
  • 0
  • 2)
    Maths-Definite Integrals-19917.png
  • 2

  • Maths-Definite Integrals-19918.png

Maths-Definite Integrals-19920.png

  • Maths-Definite Integrals-19921.png
  • 2)
    Maths-Definite Integrals-19922.png

  • Maths-Definite Integrals-19923.png

  • Maths-Definite Integrals-19924.png

Maths-Definite Integrals-19926.png
  • 0
  • 2
  • 8
  • 4

Maths-Definite Integrals-19928.png

  • Maths-Definite Integrals-19929.png
  • 2)
    Maths-Definite Integrals-19930.png

  • Maths-Definite Integrals-19931.png

  • Maths-Definite Integrals-19932.png

Maths-Definite Integrals-19934.png

  • Maths-Definite Integrals-19935.png
  • 2)
    Maths-Definite Integrals-19936.png
  • 1
  • None of these

Maths-Definite Integrals-19938.png
  • 1
  • 2)
    Maths-Definite Integrals-19939.png

  • Maths-Definite Integrals-19940.png
  • 2

Maths-Definite Integrals-19942.png
  • π
  • 0

  • Maths-Definite Integrals-19943.png

  • Maths-Definite Integrals-19944.png

Maths-Definite Integrals-19946.png
  • π/4
  • π/2
  • π
  • None of these

Maths-Definite Integrals-19948.png

  • Maths-Definite Integrals-19949.png
  • 2)
    Maths-Definite Integrals-19950.png

  • Maths-Definite Integrals-19951.png
  • None of these

Maths-Definite Integrals-19953.png

  • Maths-Definite Integrals-19954.png
  • 2)
    Maths-Definite Integrals-19955.png

  • Maths-Definite Integrals-19956.png

  • Maths-Definite Integrals-19957.png

Maths-Definite Integrals-19959.png
  • π/2
  • π/4
  • π/3
  • π/6

Maths-Definite Integrals-19961.png

  • Maths-Definite Integrals-19962.png
  • log 4

  • Maths-Definite Integrals-19963.png
  • log 2

Maths-Definite Integrals-19965.png

  • Maths-Definite Integrals-19966.png
  • 2)
    Maths-Definite Integrals-19967.png

  • Maths-Definite Integrals-19968.png
  • None of these

Maths-Definite Integrals-19970.png

  • Maths-Definite Integrals-19971.png
  • 2)
    Maths-Definite Integrals-19972.png

  • Maths-Definite Integrals-19973.png

  • Maths-Definite Integrals-19974.png

Maths-Definite Integrals-19976.png
  • ∞
  • 0
  • 1
  • log(1 + e)

Maths-Definite Integrals-19978.png
  • π/12
  • π/6
  • π/4
  • π/3

Maths-Definite Integrals-19980.png
  • 3
  • 2
  • 1
  • 0

Maths-Definite Integrals-19982.png
  • log(2/3)
  • log(1/4)
  • log(4/3)
  • log(8/3)

Maths-Definite Integrals-19984.png
  • 0
  • 3/8
  • 4/3
  • π

Maths-Definite Integrals-19986.png
  • 0
  • 1
  • e – 1
  • e + 1

Maths-Definite Integrals-19988.png
  • 3
  • 1
  • 2
  • 0

Maths-Definite Integrals-19990.png
  • 2/3
  • 1/4
  • 1/3
  • 1/6

Maths-Definite Integrals-19992.png
  • e – 2
  • e + 2
  • e2 – 2
  • e2
0:0:1


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