Question

If the equations x² + 2x + 3 = 0 and ax² + bx + c = 0; a, b, c ∈ R, have a common root, then a : b : c  is equal to

(a) 1 : 2 : 3 

(b) 3 : 2 : 1

(c) 1 : 3 : 2 

(d) 3 : 1 : 2

Answer 1

Correct option (a) 1 : 2 : 3

Explanation:

Given equations are

Since, Eq. (i) has imaginary roots.

So, Eq. (ii) will also have both roots same as Eq.(i)