Questions Asked in Previous 10 Years' Exams If the straight line \( x=b \) divide the area enclo...

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Questions Asked in Previous 10 Years' Exams
If the straight line \( x=b \) divide the area enclosed by \( y=(1-x)^{2}, y=0 \) and \( x=0 \) into two parts \( R_{1}(0 \leq x \leq b) \)
and \( R_{2}(b \leq x \leq 1) \) such that \( R_{1}-R_{2}=\frac{1}{4} \). Then, bequals to
[Single Correct Optlon 2011]
(a) \( \frac{3}{4} \)
(b) \( \frac{1}{2} \)
(c) \( \frac{1}{3} \)
(d) \( \frac{1}{4} \)
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