WBJEE 2022 Math Solved Paper

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Question : 16 of 75

Marks: +1, -0

Let f be derivable in [0,1], then

there exists c∈(0,1) such that
c
∫
0
f(x)dx=(1−c)f(c)
there does not exist any point d∈(0,1) for which
d
∫
0
f(x)dx=(1−d)f(d)
c
∫
0
f(x)dx does not exist, for any c∈(0,1)
c
∫
0
f(x)dx is independent of c,c∈(0,1)

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