JEE Advanced | 2013Quadratic EquationMedium
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 :
Options
A.1 : 2 : 3
B.3 : 2 : 1
C.1 : 3 : 2
D.3 : 1 : 2
Solution
x2 + 2x + 3 = 0
D < 0
∴ ax2 + bx + c = 0 has
both roots common
∴ a : b : c = 1 : 2 : 3
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