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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Find area of curve
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[Post New]6 Apr 2007 23:32:38 IST
    Subject: Find area of curve
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amitsingh (273)

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The area bounded by curve y = 3 and y + |2-x | =2 is
                                               |x|
a)4-ln27
     2
b)2-ln3
 
c)2+ln3
 
d)none
 
 
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[Post New]6 Apr 2007 23:37:07 IST
    Subject: Re:Find area of curve
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amitsingh (273)

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Please someone answer.
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[Post New]7 Apr 2007 07:06:41 IST
    Subject: Re:Find area of curve
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ranga1991 (0)

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The answer is a
 
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[Post New]12 Apr 2007 12:38:45 IST
    Subject: Re:Find area of curve
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shakirshafi12 (881)

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well the function y+|2-x|=2
can be broken into two parts
for x>2 x+y=4
and y=x for x<2
x+y=4 intersects at x=3
y=x intersects at sqroot(3)
so required area is
 
 
[sqroot(3) ][2] (x- 3/x) .dx  +[2 ][3] (4-x- 3/x) .dx 
=4-3log3/2
 
 
hence (a) option is correct
 
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