Let \(a,b \in R,\left( {a \ne 0} \right)\). if the function \(f\) defined as \(f\left( x \right)\left\{ \begin{array}{l}
\frac{{2{x^2}}}{a}\,\,\,\,\,\,\,\,\,\,\,\,,\,\,\,\,\,0 \le x < 1\,\,\,\\
a\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,\,\,\,\,\,1 \le x < \sqrt 2 \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\\
\frac{{2{b^2} - 4b}}{{{x^3}}}\,\,\,,\,\,\,\,\,\sqrt 2  \le x < \infty 
\end{array} \right.\,\,\,\,\)  is continuous in the interval \(\left[ {0,\infty } \right)\) , then an ordered pair \((a, b)\) is

1. A \(\left( { - \sqrt 2 ,1 - \sqrt 3 } \right)\)
2. B \(\left( {\sqrt 2 , - 1 + \sqrt 3 } \right)\)
3. C \(\left( {\sqrt 2 ,1 - \sqrt 3 } \right)\)
4. D \(\left( { - \sqrt 2 ,1 + \sqrt 3 } \right)\)