Q23 of 78 Page 14

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

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.

Mark the Correct alternative in the following:

If α, β are the roots of the equation , then are the roots of the equation

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If the difference of the roots of is unity, then

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The least value of k which makes the roots of the equation imaginary is

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The equation of the smallest degree with real coefficients having 1 + i as one of the roots is

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