Let \phi (x)= f(x) +f(1 -x) and f "(x)

Correct Answer is : φ is monotonic increasing in [0,12] and monotonic decreasing in [12,1]

φ is monotonic increasing in [0,1/2] and monotonic decreasing in [1/2,1]

φ is monotonic increasing in [1/2,1] and monotonic decreasing in [0,1/2]

φ is neither increasing nor decreasing in any sub interval of [0, 1]

WBJEE 2020 Math Solved Paper

Question : 2 of 75

Marks: +1, -0

Let φ(x)=f(x)+f(1−x) and f"(x)<0 in [0, 1], then

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