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KCET2023MathematicsArea Under Curves

In the interval (0, / 2) area lying between the curves y= x and y= x and the X -axis is

Options

  1. A2 2 sq units
  2. B4 2 sq units
  3. C2 sq units
  4. D3 2 sq units

Correct answer

C. 2 sq units

Step-by-step solution

Given, c₁ y= x, x [- 3 , 3 ]c₂ y= x [ 6 , 6 ] The region is symmetric about lines x= 4 and its first portion is bounded between the lines x=0 and x= 4 Required Area =2 ₀^ / 4 x d y aligned & =2[ ( x)]₀^ 4 & =2 [ ( 4 )- ( 0) ] & =2 2 = 2 sq units. aligned

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