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Q.

Statement I : If f is continuous, then | f | is continuous
Statement II : If | f | is continuous, then f is also continuous
Which one of the following is true

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a

neither I nor II

b

both I & II

c

only II

d

only I

answer is A.

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Detailed Solution

If f is continuous, then | f | is continuous

But if | f | is continuous, then f need not be continuous

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