Question

If the equations $x^2+2x+3=0$ and $ax^2+bx+c=0, a, b, c \in R$ have a common root, then $a : b : c$ is

• A. 1:02:03
• B. 3:02:01
• C. 1:03:02
• D. 3:01:02

Answer 1

Answer: (A)

1:02:03

Answer 2

Given equations are $x^2+2x+3=0 ...(i)$
and $ax^2+bx+c=0 ...(ii)$
Since, E (i) has imaginary roots, so E (ii) will also
have both roots same as E (i).
Thus,$\frac{a}{1}=\frac{b}{2}=\frac{c}{3}$
Hence, a : b : c is 1 : 2 : 3.