JEE Math Practice Question

Let a, b $$ \in $$ R, (a $$ \ne $$ 0). If the function f defined as $$f\left( x \right) = \left\{ {\begin{matrix} {{{2{x^2}} \over a}\,\,,} & {0 \le x < 1} \\ {a\,\,\,,} & {1 \le x < \sqrt 2 } \\ {{{2{b^2} - 4b} \over {{x^3}}},} & {\sqrt 2 \le x < \infty } \\ \end{matrix} } \right.$$ is continuous in the interval [0, $$\infty $$), 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.$$\left( { - \sqrt 2 ,1 - \sqrt 3 } \right)$$