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A figure is bounded by the curves y=x^2+...

A figure is bounded by the curves `y=x^2+1, y=0,x=0,a n dx=1.` At what point `(a , b)` should a tangent be drawn to curve `y=x^2+1` for it to cut off a trapezium of greatest area from the figure?

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The correct Answer is:
`((1)/(2),(5)/(4))`
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