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A function f is continuous in the interv...

A function f is continuous in the interval [0,1] and assumes only rational values in the entire interval. If `f(x)=1/2` when `x=1/2` Then,

A

f(x) =1, everywhere

B

`f(x)=1/2`, everywhere

C

`f(x)=1/2`, nowhere

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
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