If the function $$f(x) = \left\{ {\matrix{ {a|\pi - x| + 1,x \le 5} \cr {b|x - \pi | + 3,x > 5} \cr } } \right.$$ is continuous at x = 5, then the value of a

Question

If the function $$f(x) = \left\{ {\matrix{ {a|\pi - x| + 1,x \le 5} \cr {b|x - \pi | + 3,x > 5} \cr } } \right.$$
is continuous at x = 5, then the value of a – b is :-

${2 \over {\pi - 5 }}$

${2 \over {5 - \pi }}$

${-2 \over {\pi + 5 }}$

${2 \over {\pi + 5 }}$

Solution

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