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JEE Advance 2011
Paper-1
Question
Let the straight line $x=b$ divides 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 $b$ equals
Select the correct option:
A
$\frac{3}{4}$
B
$\frac{1}{2}$
C
$\frac{1}{3}$
D
$\frac{1}{4}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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