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Question

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


A

1:2:3

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B

3:2:1

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C

1:3:2

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D

3:1:2

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Solution

The correct option is A

1:2:3


x2+2x+3=0 ....... (i)

ax2+bx+c=0 ......... (ii)

Since equation (i) has imaginary roots

So equation (ii) will also have both roots same as (i) , Thus

a1=b2=c3 a=λ,b=2λ,c=3λ

Hence 1:2:3


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