Q 1602034838.     Let `a, b in R, (a\ne 0)`. If the function `f` defined as `{tt(( \ frac {2x^{2}}{a}, 0\leq x < 1 ),( a, 1\le x < \sqrt {2}),( \ frac {2b^{2} - 4b}{x^{3}}, \sqrt {2} \le x < \infty )]}` is continuous in the interval `[0, \infty)`, then an ordered pair `(a, b)` is:

JEE 2016 Mains 10 April
A

`(-\sqrt {2}, 1 - \sqrt {3})`

B

`(\sqrt {2}, -1 + \sqrt {3})`

C

`(\sqrt {2}, 1 - \sqrt {3})`

D

`(-\sqrt {2}, 1 + \sqrt {3})`

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