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If three distinct numbers a, b, c are in G.P. and the equations ax 2 + 2bx + c = 0 and dx 2 + 2ex + f = 0 have a common root, then which one of the following statements is correct ?

1. d, e, f are in A.P.
2. c f , b e , a d are in A.P.
3. d, e, f are in G.P.
4. c f , b e , a d are in G.P.

Correct answer: c f , b e , a d are in A.P.

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