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AP EAMCET201822 Apr 2018Evening ShiftMathematicsContinuity and DifferentiabilityActual

If a and b(a>b) are points of discontinuity of the function f(x)= array ccc 3-2 x^2, & for & x 0 2 x+3, & for & 0 < x 1 2 x^2-3 x, & for & 1 < x < 2 2 x-3, & for & 2 x < 3 |x|, & for & x 3 array . then 3 a-b=

Options

  1. A3
  2. B7
  3. C5
  4. D1

Correct answer

C. 5

Step-by-step solution

Since, LHL (at x=1)=5 and RHL (at x=1 ) =-1 , so function is discontinuous at x=1 , And LHL (at x=2)=2 and RHL (at x=2 ) =1 , so function is discontinuous at x=2 . So, a=2 and b=1( a>b) , 3 a-b=5

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