Mark the Correct alternative in the following: If α, β are the roots of the equation , then

Question

Philoid · Accepted Answer

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.