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If the equation x^(2)+2x+3=0 and ax^(2)+...

If the equation `x^(2)+2x+3=0 and ax^(2)+bx+c=0, a,b,c in R` have a common root, then `a:b:c` is

A

`1:2:3`

B

`3:2:1`

C

`1:3:2`

D

`3:1:2`

Text Solution

Verified by Experts

The correct Answer is:
A
Given equations are `x^(2)+2x+3=0" "…(i)`
and `ax^(2)+bx+c=0" "…(ii)`
Since, Eq. (i) has imaginary roots, so Eq. (ii) will alos have both same as Eq. (i).
Thus, `a/1=b/2=c/3`
Hence,` a:b:c: is 1:2:3.`
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