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KCET2018MathematicsArea Under Curves

The area bounded by the line ( y=x, x )-axis and ordinates ( x=-1 ) and ( x=2 ) is

Options

  1. A( 3 2 )
  2. B( 5 2 )
  3. C( 12 )
  4. D( 13 )

Correct answer

B. ( 5 2 )

Step-by-step solution

Given lines, ( y=x, y=0, x=-1 ) and ( x=2 ) So, required area is given by The area of shaded region [ array l = 1 2 |x|+ 1 2 2 2 = 1 2 +2= 5 2 sq. units array ]

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