If equations $\;ax^{2}+bx+c=0\;, (a,b,c \in R\;, a \neq 0)\;$ and $\;2x^{2}+3x+4=0\;$ have a common root then $\;a : b: c\;$ equals :

Question

$(a)\;1: 2 :3 \qquad(b)\;2: 3 :4\qquad(c)\;4: 3 :2\qquad(d)\;3: 2 :1$