The quadratic equations $${x^2} - 6x + a = 0$$ and $${x^2} - cx + 6 = 0$$ have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is
A
1
B
4
C
3
D
2
Explanation
Let the roots of equation $${x^2} - 6x + a = 0$$ be $$\alpha $$
and $$4$$ $$\beta $$ and that of the equation
$${x^2} - cx + 6 = 0$$ be $$\alpha $$ and $$3\beta .$$ Then