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Application of Integration question

2011 · Shift 1 · Q35

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PYQ Library
JEE Advanced
Mathematics
Application of Integration
2011 · Shift 1 · Q35

Application of Integration question

2011 · Shift 1 · Q35

JEE AdvancedMathematicsApplication of IntegrationMCQ+4 / −1

Let the straight line

x=b

divide the area enclosed by

y = {\left( {1 - x} \right)^2},y = 0,

and

x=0

into two parts

{R_1}\left( {0 \le x \le b} \right)

and

{R_2}\left( {b \le x \le 1} \right)

such that

{R_1} - {R_2} = {1 \over 4}.

Then

b

equals

A
${3 \over 4}$
B
${ 1\over 2}$
C
${1 \over 3}$
D
${1 \over 4}$

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