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