Mathematics · 2014
JEE Main · 9 April 2014, Shift 1 · Q63
If equations a x^2+b x+c=0, ( a, b, c ∈ R, a ≠ 0) and 2 x^2+3 x+4=0 have a common root, then a: b: c equals:
If equations $\displaystyle a x^2+b x+c=0$, $\displaystyle (\mathrm{a}, \mathrm{b}, \mathrm{c} \in \mathrm{R}, \mathrm{a} \neq 0)$ and $\displaystyle 2 x^2+3 x+4=0$ have a common root, then $\displaystyle \mathrm{a}: \mathrm{b}: \mathrm{c}$ equals :
Official answer
(2)
$\displaystyle 2$ : $\displaystyle 3$ : $\displaystyle 4$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.