JEE Maths - Area under a curve

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Question - 1

Find the area between the curve y = 1 - | x | and x-axis _____________ .

  • A 0.00
  • B 1.00
  • C 2.00
  • D 3.00

Question - 2

Find the area of the region enclosed between the curve x2 = 2y and the straight line y = 2 ____________ .

  • A 2.33
  • B 3.33
  • C 4.33
  • D 5.33

Question - 3

Find the common area of the curves \(y=\sqrt{x} \text { and } x=\sqrt{y}\) ______________ .

  • A 0.33
  • B 0.44
  • C 0.55
  • D 0.66

Question - 4

Find the area bounded by the curve y = sin x. x-axis and the lines x = 0 and x = π ______________ .

  • A 6.00
  • B 3.00
  • C 1.00
  • D 2.00

Question - 5

Find the area between the parabola x2 = 4y and line x = 4y - 2 ______________ .

  • A 1.10
  • B 1.11
  • C 1.12
  • D 1.13

Question - 6

Find the area of the region bounded by curves y = | x-1| and y = 3- | x | ______________ .

  • A 3.00
  • B 4.00
  • C 5.00
  • D 6.00

Question - 7

Find the area bounded by the curve y = x3, x-axis and ordinates x = -2 and x = 1 ______________ .

  • A 1.25
  • B 2.25
  • C 3.25
  • D 4.25

Question - 8

Find the area of the figure bounded by y2 = 9x and y = 3x ______________ .

  • A 0.5
  • B 0.6
  • C 0.7
  • D 0.8

Question - 9

If the area of the region \(\left\{(\mathrm{x}, \mathrm{y}): \mathrm{x}^{2}+\mathrm{y}^{2} \leq 1 \leq \mathrm{x}+\mathrm{y}\right\}, \text { is } \frac{\pi}{4}-\mathrm{k}\) then find k _____________ .

  • A 0.3
  • B 0.4
  • C 0.5
  • D 0.6

Question - 10

If area bounded by the curve xy2 = a2 (a - x) and the y-axis is ka2 then find k _____________ .

  • A 2.14
  • B 3.14
  • C 4.14
  • D 5.14
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