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Limits Continuity and Differentiability question

2019 · 9 Apr · Shift 2 · Q27

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JEE Main
Mathematics
Limits Continuity and Differentiability
2019 · 9 Apr · Shift 2 · Q27

Limits Continuity and Differentiability question

2019 · 9 Apr · Shift 2 · Q27

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If the function

f(x) = \left\{ {\begin{matrix} {a|\pi - x| + 1,x \le 5} \\ {b|x - \pi | + 3,x \gt 5} \\ \end{matrix} } \right.

is continuous at x = 5, then the value of a – b is :-

A
${2 \over {\pi - 5 }}$
B
${2 \over {5 - \pi }}$
C
${-2 \over {\pi + 5 }}$
D
${2 \over {\pi + 5 }}$

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