Question

The ratio of the sum and product of the roots of the equation 7x² - 12x + 18 = 0 is

(a) 7 :12

(b) 7 :18

(c) 3 : 2

(d) 2 : 3

Answer 1

Correct answer is (d) 2 : 3

Given:

7x² - 12x + 18 = 0

∴ α + β = 12/7 and β = 18/7, where α and β are the roots of the equation

∴ Ratio of the sum and product of the roots = 12/7:18/7

= 12:18

= 2:3