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GATE | GATE-CS-2014-(Set-1) | Question 65
A function is continuous in the interval [0, 2]. It is known that f(0) = f(2) = -1 and f(1) = 1. Which one of the following statements must be true.
(A)
There exist a y in the interval (0, 1), such that f(y) = f(y+1)
(B)
For every y in the interval (0, 1) , f(y) = f(2-y)
(C)
The maximum value of the function in the interval (0, 2) is 1
(D)
There exist a y in the interval (0, 1), such that f(y) = -f(2-y)
Answer
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