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KCET2018MathematicsArea Under Curves

The area of the region bounded by the curve ( y= x ) between ( x=0 ) and ( x= ) is

Options

  1. A( 1 ) sq. unit
  2. B( 4 ) sq. unit
  3. C( 2 ) sq. unit
  4. D( 3 ) sq. unit

Correct answer

C. ( 2 ) sq. unit

Step-by-step solution

Given curve, ( y= x ) between ( x=0 ) and ( x= ) So, required area is given by [ array l ₀^ | x| d x= ₀^ / 2 ( x) d x+ _ / 2 ^ (- x) d x ₀^ | x| d x= .( x) |₀ ^ / 2 +. .(- x) |_ / 2 ^ =1+1= 2sq.units. array ]

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