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

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Question

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

$1:2:3$

$3:2:1$

$1:3:2$

$3:1:2$

Solution

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