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If x1 and x2 are abscissae of two points...

If `x_1 and x_2` are abscissae of two points on the curve `f(x) = x - x^2` in the interval `(0,1).` then maximum value of the expression `(x_1+x_2)-(x_1^2+x_2^2)` is

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The correct Answer is:
`(1)/(2)`
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