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KCET2014MathematicsArea Under Curves

The area of the parallelogram whose adjacent sides are ( i + k ) and ( 2 i + j + k ) is

Options

  1. A( ( 2 )
  2. B( 3 )
  3. C( 13 )
  4. D( 04 )

Correct answer

B. ( 3 )

Step-by-step solution

Given sides of parallelogram, [ array l a = i + k b =2 i + j + k array ] So, area is given by ( | a b | ) [ | array lll i & j & k 1 & 0 & 1 2 & 1 & 1 array |=- i + j + k ] Therefore, area of parallelogram, is ( 1+1+1 = 3 )

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