Let $a, b \;\epsilon \; R, (a ≠ 0).$ If the function f defined as $f(x) = \begin{cases} \frac{2x^2}{a}, & 0 \leq x < 1 \\ a , & 1 \leq x < \sqrt 2 \\ \frac{2b^2 - 4b}{x^3}, & \sqrt 2 \leq x < \infty \end{cases}$ is continuous in the interval $[0, ∞)$, then an ordered pair $(a, b)$ is

Question

$\begin{array}{1 1}(1)\; (\sqrt 2, 1 - \sqrt 3) \\ (2)\; (-\sqrt 2, 1- \sqrt 3) \\ (3)\; (\sqrt 2, -1 + \sqrt 3) \\ (4)\; (-\sqrt 2, 1 + \sqrt 3) \end{array}$