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Question

If α,β are the roots of x2p(x+1)+C=0, then (α+1)(β+1) =

A
1- C
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B
1+C
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C
C-1
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D
C
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Solution

The correct option is B 1+C
x2p(x+1)+C
x2pxp+C
α+β=p1
αβ=p+C
Now, (α+1)(β+1)
=αβ+α+β+1
=p+C+p+1
=C+1

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