A) 0
B) 1
C) 2
D) infinite
Correct Answer: A
Solution :
[a] Given, \[f(x)<{{x}^{2}}f(x)\] is always positive for \[x\in [0,1]\] \[\int_{0}^{1}{f(x)dx<\int_{0}^{1}{{{x}^{2}}dx}}\] \[\frac{1}{3}<\left| \frac{{{x}^{3}}}{3} \right|_{0}^{1}\]\[\Rightarrow \]\[\frac{1}{3}<\frac{1}{3}\] It is not possible.You need to login to perform this action.
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