Q. 23

# Mark the Correct alternative in the following:If α, β are the roots of the equation  , then A. cB. c − 1C. 1 − cD. none of these

given x2-p(x+1)-c=0

x2-px-p-c=0

x2-px-(p+c)=0

as α, β are roots of equation, we get

sum of the roots α + β = p

Product of roots αβ = - (p + c)

Given (1+ α) (1+ β)

= 1 + (α + β) + (α β)

= 1 + p – p – c

= 1 – c.

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