1.

Let f(x) be a twice differentiable function in (-oo, oo) such that f''(x)lt 0 AA x in R, g(x)=f(x)+f(1-x) and g'((1)/(4))=0 then

Answer»

g(x) is increasing in `(-oo, (1)/(4))`
g(x) attains local minima at `x=(1)/(2)`
minimum number of zeroes F `g''(x)` is 2 in [0, 1]
`g'(x) lt 0 " in "((1)/(2), oo)`

Answer :A,C,D


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