1.

The number of continuouss function `f:[0,1] to R ` that satisfy

Answer» Correct Answer - B
Given equation can be written as
`-(1)/(3)=int_(0)^(1)((f(x))/(2)-x)^(2) dx - int_(0)^(1) x^(2) dx`
`int_(0)^(1) x^(2)dx(1)/(3)=int_(0)^(1)((f(x))/(2)-x)^(2) dx`
`0=int_(0)^(1)((f(x))/(2)-x)^(2) dx`
So, no of continuous funtion is 1.


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