[JEE Main 2009] The equations $x^2-6x+a=0$ and $x^2-cx+6=0$ have one common root; the other roots are integers in the ratio $4:3$. The common root is
The equations $x^2-6x+a=0$ and $x^2-cx+6=0$ have one common root; the other roots are integers in the ratio $4:3$. The common root is
(a) $1$
(b) $4$
(c) $3$
(d) $2$
1 Answer
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✓ Vidaara Team
✓ Accepted
· 1mo ago
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Correct answer: (d) $2$
Common root $2$: then other roots are $4$ (from $2+4=6$) and $3$ (from $2\cdot3=6$), in ratio $4:3$.
JEE Main 2009 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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