MCQ
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
- A$\left( { - \sqrt 2 ,1 - \sqrt 3 } \right)$
- B$\left( {\sqrt 2 , - 1 + \sqrt 3 } \right)$
- ✓$\left( {\sqrt 2 ,1 - \sqrt 3 } \right)$
- D$\left( { - \sqrt 2 ,1 + \sqrt 3 } \right)$
