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Questions  

If the graph of y =f(x) is symmetrical about the lines x = 1 and x = 2, then which of the following is true?

a
f(x+1)=f(x)
b
f(x+3)=f(x)
c
f(x+2)=f(x)
d
None of these

detailed solution

Correct option is C

From the given data, f(1−x)=f(1+x)---1 and f(2−x)=f(2+x)-----2 In (2), replacing x by 1+x, we have f(1−x)=f(3+x)f(1+x)=f(3+x)       from 1 or f(x)=f(2+x)

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