[JEE Main 2013] If $x^2+2x+3=0$ and $ax^2+bx+c=0$ ($a,b,c\in\mathbb R$) have a common root, then $a:b:c$ is
If $x^2+2x+3=0$ and $ax^2+bx+c=0$ ($a,b,c\in\mathbb R$) have a common root, then $a:b:c$ is
(a) $1:2:3$
(b) $3:2:1$
(c) $1:3:2$
(d) $3:1:2$
1 Answer
VAVidaara Admin
✓ Vidaara Team
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· 1mo ago
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Correct answer: (a) $1:2:3$
$x^2+2x+3=0$ has complex roots, so both roots are common; the equations are proportional, giving $a:b:c=1:2:3$.
JEE Main 2013 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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