JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

Let

f:[0,1] \rightarrow R

be a continuous function, then which of the following is the maximum value of

\int\limits_{0}^1 x^2 f(x) d x-\int\limits_{0}^1 x(f(x))^2 d x

for all such functions

View answer and explanation

Correct option: B

\frac{1}{16}

Option D (

\sqrt{22}

) is correct because it is the radius of the circle calculated using geometric properties and the power of a point.

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