Question

If m and n are zeroes of kx2 -2x +3k such that m+ n = mn then k =? *
1 point
(a) 1/3
(b) -1/3
(c) 2/3
(d) -2/3

Answer 1

Answer: k = ⅔ (c).

Explanation:

Let, p(x) = kx² - 2x + 3k

And, m and n are the zeroes and it is given that,

m + m = mn

=> - b/a = c/a

(Vieta's formulae)

=> c = - b

=> 3k = - (- 2)

=> k = ⅔.