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KCET2014MathematicsTrigonometric Ratios & Identities

[ If f(x)= array cc 3 x 5 x ; & x 0 2 K ; & x=0 array . ] is continuous at ( x=0 ), then the value of ( K ) is

Options

  1. A( 3 10 )
  2. B( 3 5 )
  3. C( 10 )
  4. D( 3 2 )

Correct answer

A. ( 3 10 )

Step-by-step solution

Given that ( f(x)= array cl 3 x 5 x & x 0 2 K & x=0 array . ) Now, [ array l _ x 0 ( 3 x 5 x )=2 K 3 5 _ x 0 x x I I =2 K 3 5 1=2 K K= 3 10 array ]

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