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If one root fo the quadratic equation ix...

If one root fo the quadratic equation `ix^(2)-2(i+1)x+(2-i)=0,i=sqrt(-1)` is `2-i`, the other root is

A

`3+i`

B

`3+sqrt(-1)`

C

`-1+i`

D

`-1-i`

Text Solution

Verified by Experts

The correct Answer is:
D
Since all the coefficients of given equation are not real.
Therefore, other root `!=3+i`
Let other root be `alpha`.
Then sum of the roots`=(2(1+i))/i`
`impliesalpha+3-i=(2(1+i))/i`
`impliesalpha+3-i=2-2i`
`:.alpha=-1-i`
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