MCQ
$Let\,\,f(x) = \left\{ {\begin{array}{*{20}{c}}
  {{x^2} - a\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,;\,\,x < 3} \\ 
  {b\sqrt {x - 2}  + a\,\,\,\,\,\,\,\,\,\,\,;\,\,3 \leqslant x < 6.} \\ 
  {2x + b\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,;\,\,\,x \geqslant 6} 
\end{array}} \right.$ If $f(x)$ is continuous $\forall x \in R$, then value of $\frac{f(1)-f(3)}{4}$

 

  • A
    $-3$
  • $-2$
  • C
    $-1$
  • D
    $0$

Answer

Correct option: B.
$-2$
b
$a=-3$ and $b=15$

$f(1)=4$ and $f(3)=12$.

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