1.

If the graph of `y=f(x)`is symmetrical about the lines `x=1a n dx=2,`then which of the following is true?`f(x+1)=f(x)`(b) `f(x+3)=f(x)``f(x+2)=f(x)`(d) None of theseA. `f(x+1)=f(x)`B. `f(x+3)=f(x)`C. `f(x+2)=f(x)`D. none of these

Answer» Correct Answer - 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)`
` or f(1+x)=f(3+x) " [From (1)]" `
` or f(x) = f(2+x)`


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