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JEE Math Practice Question

If the equations $${x^2} + 2x + 3 = 0$$ and $$a{x^2} + bx + c = 0,$$ $$a,\,b,\,c\, \in \,R,$$ have a common root, then $$a\,:b\,:c\,$$ is

  1. A.$$1:2:3$$
  2. B.$$3:2:1$$
  3. C.$$1:3:2$$
  4. D.$$3:1:2$$

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