Let the straight line x-b divide the area enclosed by y-1-x2- y-0 and x-0 into two parts R10 - x - b and R20 - x - 1 such that R1-R2-1 - 4 then b equals1A- 1-3B- -4 C- I-2D- 4

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Standard XII

Mathematics

Sequence

Let the strai...

Question

Let the straight line x=b divide the area enclosed by y= (1-x)², y=0 and x=0 into two parts R₁(0≤x≤b) and R₂ (0≤x≤1) such that R₁-R₂ = 1/4 then b equals

$\frac{3}{4}$

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$\frac{1}{2}$

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$\frac{1}{3}$

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$\frac{1}{4}$

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Solution

The correct option is B
$\frac{1}{2}$

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Similar questions

Q. Let the straight line

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Let 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 $R_{2} (0 \leq x \leq 1)$ such that $R_{1} - R_{2} = \frac{1}{4}$ then $b$ equals

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Let the straight line x=b divide the area enclosed by y= (1-x)2, y=0 and x=0 into two parts R1(0≤x≤b) and R2 (0≤x≤1) such that R1-R2 = 1/4 then b equals

The correct option is B 12

Let the straight line x=b divide the area enclosed by y= (1-x)², y=0 and x=0 into two parts R₁(0≤x≤b) and R₂ (0≤x≤1) such that R₁-R₂ = 1/4 then b equals

The correct option is B
$\frac{1}{2}$