JEE Math Practice Question

Let $$f:\left( { - {\pi \over 4},{\pi \over 4}} \right) \to R$$ be defined as $$f(x) = \left\{ {\begin{matrix} {{{(1 + |\sin x|)}^{{{3a} \over {|\sin x|}}}}} & , & { - {\pi \over 4} < x < 0} \\ b & , & {x = 0} \\ {{e^{\cot 4x/\cot 2x}}} & , & {0 < x < {\pi \over 4}} \\ \end{matrix} } \right.$$ If f is continuous at x = 0, then the value of 6a + b2 is equal to :

1. A.1 $$-$$ e
2. B.e $$-$$ 1
3. C.1 + e
4. D.e