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KCET2019MathematicsArea Under Curves

The area of the region bounded by ( y )-axis. ( y= x ) and ( y= x ; 0 x 2 ) is

Options

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

Correct answer

C. ( 2 -1 ) Sq.units

Step-by-step solution

(C) [ array l Required area = ₀^ 4 ( x- x) d x =( x+ x)₀^ 4 = ( 1 2 + 1 2 -1 ) =( 2 -1) sq units array ]

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