If the equations x 2 + 2 x + 3 = 0 and a x 2 + b x + c = 0 , a , b , c ∈ R , have a common root, then a : b : c is:

Question

If the equations x 2 + 2 x + 3 = 0 and a x 2 + b x + c = 0 , a , b , c ∈ R , have a common root, then a : b : c is:, 1 : 3 : 2, 3 : 1 : 2, 1 : 2 : 3, 3 : 2 : 1

MARKS App · Accepted Answer

As the roots of x 2 + 2 x + 3 = 0 are imaginary, hence both the roots are common with a x 2 + b x + c = 0 . ∴ a 1 = b 2 = c 3 .

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