Complex NumbersHard
Question
The set of values of a ∈ R for which x2 + i(a - 1) x + 5 = 0 will have a pair of conjugate imaginary roots is
Options
A.R
B.{1}
C.{a : a2 - 2a + 21 > 0}
D.none of these
Solution
[on solving for x]
Let + sgn gives x1 & gives x2
then x1 = x2
⇒
⇒ a - 1 = 0
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