Its algebric progression!

Algebra Level pending

Given that a , b a,b and c c are in a geometric progression.

If the equations a x 2 + b x + c = 0 ax^2+bx+c=0 and d x 2 + 2 e x + f = 0 dx^2+2ex+f=0 have common root, then d a , e b , f c \dfrac da, \dfrac eb, \dfrac fc are in a:

Harmonic progression Arithmetic progression Geometric progression None of these choices

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