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KCET 2008 Math Solved Paper

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Question : 50

Total: 60

f(x)‌=2a−x‌‌ in ‌−a<x<a
‌=3x−2a‌‌ in ‌a≤x
Then which of the following is true?

f(x) is discontinuous at x=a
f(x) is not differentiable at x
f(x) is differentiable at all x≥a
f(x) is continuous at all x<a

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