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Q.

If 0 < a < b < c and $α, β$ are imaginary roots of ax² + bx + c = 0 then

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a

$| α | = | β |$

b

$| α | > 1$

c

$| β | < 1$

d

$| α | = 1$

answer is A, B.

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Detailed Solution

$α = \bar{β} \Rightarrow | α | = | β | α \bar{β} = \frac{c}{a}, | α |^{2} = \frac{c}{a} > 1 \Rightarrow | α | > 1$

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