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KVPY2013MathematicsArea Under Curves

The area bounded by the curve y= x , the line joining (- / 4, (- / 4)) and (0,2) and the line joining ( /4, ( / 4)) and (0,2) is

Options

  1. A( 4+ 2 8 ) - 2
  2. B( 4+ 2 8 ) + 2
  3. C( 4+ 2 4 ) - 2
  4. D( 4+ 2 4 ) + 2

Correct answer

A. ( 4+ 2 8 ) - 2

Step-by-step solution

required area =2 [ 1 2 ( 1 2 +2 ) 4 - ₀^ / 4 x dx ]= ( 4+ 2 8 ) - 2

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