If three distinct numbers a,b,c are in G.P. and the equations ax2 + 2bx + c = 0 and dx2 + 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
\(\frac{d}{a}, \frac{e}{b}, \frac{f}{c}\) are in G.P.
3
\(\frac{d}{a}, \frac{e}{b}, \frac{f}{c}\) are in A.P.
4
d, e, f are in G.P.

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