Basic Maths and Units and DimensionsHard

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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