Complex Numbers And Quadratic Equations question 572

Question: If one root of the quadratic equation, $ ix^{2}-2(i+1)x+(2-i)=0 $ is $ 2-i $ , then the other root is

Options:

A) - i

B) i

C) $ 2+i $

D) $ 2-i $

Show Answer

Answer:

Correct Answer: A

Solution:

Let $ \alpha $ be the other root, then product of the roots $ \alpha .(2-i)=\frac{(2-i)}{i}\Rightarrow \alpha =-i $ .