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NDA2022MathematicsArea Under CurvesActual

What is the area of the region enclosed in the first quadrant by x^2+y^2= ^2, y= x and x=0 ?

Options

  1. A^3 4 -1
  2. B^3 4 -2
  3. C^3 2 -1
  4. D^2 4 -2

Correct answer

B. ^3 4 -2

Step-by-step solution

Required area = 1 4 ( )^2- ₀^ x d x= ^3 4 -[- x]₀^ = ^3 4 -2

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