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

Correct option (a) 2

Explanation:

Let the roots of x² - 6x + a = 0 be α, 4β and that of x² - cx + 6 = 0 be α and 3β.