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Question

If ddx(1+x2+x41+x+x2)=ax+b,then(a,b)=

A
(1,2)
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B
(2,1)
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C
(2,1)
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D
(1,2)
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Solution

The correct option is C (2,1)
Given expression,
1+x2+x4=(x2+1x)(x2+1+x)
=>1+x2+x41+x+x2=1x+x2
=>d(1x+x2)dx=2x1
Comparing with coefficient,
a=2,b=1


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