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KCET2015MathematicsDefinite Integration

( f(x)= array cl 3 x-8 & if x 5 2 k & if x>5 array . ) is continuous, find ( k . )

Options

  1. A( 2 7 )
  2. B( 3 7 )
  3. C( 4 7 )
  4. D( 7 2 )

Correct answer

D. ( 7 2 )

Step-by-step solution

Given that, f(x)= array cc 3 x-8 & x 5 2 k & x>5 array . At x=5 , we have f(5)=3(5)-8=7 Taking R.H.L, we have _ x 5 2 k=2 k WE know that for continuous L.H.L = R.H.L. Therefore, 7=2 k k= 7 2

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