Question

The quadratic equations x² – 6x + a = 0 and x² – 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) 2 

(b) 1 

(c) 4 

(d) 3

Answer 1

(a) : Let α and 4β be the root of