JEE Questions for Maths Definite Integrals Quiz 14 - MCQExams.com


Maths-Definite Integrals-21365.png

  • Maths-Definite Integrals-21366.png
  • 2)
    Maths-Definite Integrals-21367.png
  • 0

  • Maths-Definite Integrals-21368.png

Maths-Definite Integrals-21370.png

  • Maths-Definite Integrals-21371.png
  • 2)
    Maths-Definite Integrals-21372.png

  • Maths-Definite Integrals-21373.png

  • Maths-Definite Integrals-21374.png

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  • 1, 1
  • –1, –1
  • 1, –1
  • –1, 1

Maths-Definite Integrals-21378.png
  • 1/2
  • 0
  • 1
  • 2

Maths-Definite Integrals-21380.png
  • 2
  • π

  • Maths-Definite Integrals-21381.png

  • Maths-Definite Integrals-21382.png

Maths-Definite Integrals-21384.png

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    Maths-Definite Integrals-21386.png

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  • Maths-Definite Integrals-21388.png

Maths-Definite Integrals-21390.png

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    Maths-Definite Integrals-21392.png

  • Maths-Definite Integrals-21393.png

  • Maths-Definite Integrals-21394.png

Maths-Definite Integrals-21396.png

  • Maths-Definite Integrals-21397.png
  • 2)
    Maths-Definite Integrals-21398.png

  • Maths-Definite Integrals-21399.png
  • None of these

Maths-Definite Integrals-21401.png
  • 5/2
  • 7/2
  • 3/2
  • None of these

Maths-Definite Integrals-21403.png
  • 1
  • 3/2
  • 1/2
  • None of these

Maths-Definite Integrals-21405.png
  • 0
  • 2)
    Maths-Definite Integrals-21406.png

  • Maths-Definite Integrals-21407.png

  • Maths-Definite Integrals-21408.png

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  • Maths-Definite Integrals-21411.png
  • 2)
    Maths-Definite Integrals-21412.png

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  • Maths-Definite Integrals-21414.png

Maths-Definite Integrals-21416.png

  • Maths-Definite Integrals-21417.png
  • 2π
  • π

  • Maths-Definite Integrals-21418.png
Area bounded by the curve y = log x, x-axis and the ordinates x = 1, x = 2 is
  • log 4 sq.unit
  • (log 4 +sq.unit
  • (log 4 –sq.unit
  • None of these
Area bounded by the curve y = xex2, x-axis and the ordinates x = 0, x = a

  • Maths-Definite Integrals-21421.png
  • 2)
    Maths-Definite Integrals-21422.png

  • Maths-Definite Integrals-21423.png

  • Maths-Definite Integrals-21424.png
Area bounded by the curve y = sin x between x = 0 and x = 2π is
  • 2 sq.unit
  • 4 sq.unit
  • 8 sq.unit
  • None of these
Area bounded by the parabola y = 4x2, y-axis and the lines y = 1, y = 4 is
  • 3 sq.unit
  • 2)
    Maths-Definite Integrals-21427.png

  • Maths-Definite Integrals-21428.png
  • None of these

Maths-Definite Integrals-21430.png

  • Maths-Definite Integrals-21431.png
  • 2)
    Maths-Definite Integrals-21432.png

  • Maths-Definite Integrals-21433.png

  • Maths-Definite Integrals-21434.png

Maths-Definite Integrals-21436.png
  • 8
  • 2)
    Maths-Definite Integrals-21437.png
  • 2

  • Maths-Definite Integrals-21438.png
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
  • 3
  • 6
  • 9
  • 12
Area bounded by curve xy = c, x-axis between x = 1 and x = 4, is
  • c log 3 sq,.unit
  • 2 log c sq.unit
  • 2c log 2 sq.unit
  • 2c log 5 sq.unit

Maths-Definite Integrals-21442.png

  • Maths-Definite Integrals-21443.png
  • 2)
    Maths-Definite Integrals-21444.png

  • Maths-Definite Integrals-21445.png

  • Maths-Definite Integrals-21446.png
Area bounded by the y = x sin x and x-axis between x = 0 and x = 2π, is
  • 0
  • 2π sq.unit
  • π sq.unit
  • 4π sq.unit

Maths-Definite Integrals-21449.png

  • Maths-Definite Integrals-21450.png
  • 2)
    Maths-Definite Integrals-21451.png
  • 8 sq.unit
  • None of these

Maths-Definite Integrals-21453.png
  • 2
  • –2
  • 1/2
  • None of these
The area bounded by the curve y = x3, x-axis and two ordinates x = 1 to x = 2 equal to

  • Maths-Definite Integrals-21455.png
  • 2)
    Maths-Definite Integrals-21456.png

  • Maths-Definite Integrals-21457.png

  • Maths-Definite Integrals-21458.png
The area bounded by the parabola y2 = 4ax, its axis and two ordinates x = 4, x = 9 is
  • 4a2
  • 4a2.4
  • 4a2(9 – 4)

  • Maths-Definite Integrals-21460.png
The area of the region bounded by the x-axis and the curves defined by y = tan x, (–π/3 ≤ x ≤ π/is
  • log √2
  • – log √2
  • 2 log 2
  • 0
If a curve y = a√x + bx passes through the point (1,and the area bounded by the curve , line x = 4 and x-axis is 8 sq.unit, then
  • a = 3, b = –1
  • a = 3, b = 1
  • a = –3, b = 1
  • a = –3, b = –1

Maths-Definite Integrals-21464.png
  • 1/2
  • 1
  • –1
  • 2
The area bounded by the curve y = f(x), x–axis and ordinates x = 1 and x = b is (b –sin (3b + 4), then f(x) is
  • 3(x –cos(3x ++ sin (3x + 4)
  • (b –sin(3x ++ 3 cos (3x + 4)
  • (b –cos(3x ++ 3 sin (3x + 4)
  • None ot the above
Area under the curve y = x2 – 4x within the x-axis and the line x = 2, is

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  • 2)
    Maths-Definite Integrals-21468.png

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  • Cannot be calculated
The area bounded the straight lines x = 0, x = 2 and the curves y = 2x, y = 2x – x2 is

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  • 2)
    Maths-Definite Integrals-21472.png

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  • Maths-Definite Integrals-21474.png

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  • 1 sq.unit

  • Maths-Definite Integrals-21478.png

  • Maths-Definite Integrals-21479.png

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  • 1
  • 2)
    Maths-Definite Integrals-21482.png

  • Maths-Definite Integrals-21483.png

  • Maths-Definite Integrals-21484.png

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  • 2)
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The area between the parabola y = x2 and the line y = x is

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  • 2)
    Maths-Definite Integrals-21493.png

  • Maths-Definite Integrals-21494.png
  • None of these
Area bounded by the parabola y2 = 4ax and its latus rectum is

  • Maths-Definite Integrals-21496.png
  • 2)
    Maths-Definite Integrals-21497.png

  • Maths-Definite Integrals-21498.png

  • Maths-Definite Integrals-21499.png

Maths-Definite Integrals-21501.png

  • Maths-Definite Integrals-21502.png
  • 2)
    Maths-Definite Integrals-21503.png

  • Maths-Definite Integrals-21504.png
  • None of these
The area of the smaller segment cut off from the circle x2 + y2 = 9 by x = 1 is

  • Maths-Definite Integrals-21506.png
  • 2)
    Maths-Definite Integrals-21507.png

  • Maths-Definite Integrals-21508.png
  • None of these
The area bounded by the curves y = loge x and y = (loge x)2 is
  • 3 – e
  • e – 3

  • Maths-Definite Integrals-21510.png

  • Maths-Definite Integrals-21511.png
The area bounded between the parabola y2 = 4x and the line y = 2x – 4 is equal to
  • 9 sq.units
  • 15 sq.units

  • Maths-Definite Integrals-21513.png

  • Maths-Definite Integrals-21514.png

Maths-Definite Integrals-21516.png

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  • 2)
    Maths-Definite Integrals-21518.png

  • Maths-Definite Integrals-21519.png

  • Maths-Definite Integrals-21520.png
The area in the first quadrant between x2 + y2 = π2 and y = sin x is

  • Maths-Definite Integrals-21522.png
  • 2)
    Maths-Definite Integrals-21523.png

  • Maths-Definite Integrals-21524.png

  • Maths-Definite Integrals-21525.png
The area of the plane region bounded by the curves x + 2y2 = 0 and x + 3y2 = 1, is equal to

  • Maths-Definite Integrals-21527.png
  • 2)
    Maths-Definite Integrals-21528.png

  • Maths-Definite Integrals-21529.png

  • Maths-Definite Integrals-21530.png

Maths-Definite Integrals-21532.png

  • Maths-Definite Integrals-21533.png
  • 2)
    Maths-Definite Integrals-21534.png

  • Maths-Definite Integrals-21535.png

  • Maths-Definite Integrals-21536.png
The volume of the solid generated by revolving about the y-axis the figure bounded by the parabola y = x2 and x = y2 is

  • Maths-Definite Integrals-21538.png
  • 2)
    Maths-Definite Integrals-21539.png

  • Maths-Definite Integrals-21540.png

  • Maths-Definite Integrals-21541.png
A frustum of sphere is made by cutting two parallel planes of any sphere. If radius of sphere is 5 cm and distance between the plane is 1 cm. Then will be the curved surface of frustum when the distance of first plane from the centre of sphere is 2 cm.
  • 5π cm2
  • 10π cm2
  • 15π cm2
  • 40π cm2
The parabolas y2 = 4x and x2 = 4y divide the square region bounded by the lines x = 4, y = 4 and the co-ordinate axes. If S1, S2, S3 are respectively the areas of these parts numbered from top to bottom, then S1 : S2 : S3 is
  • 2 : 1 : 2
  • 1 : 1 : 1
  • 1 : 2 : 1
  • 1 : 2 : 3

Maths-Definite Integrals-21557.png
  • 1 : 1
  • 2 : 1
  • 1 : 2
  • None of these
0:0:1


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