isi-entrance 2016 Q44

isi-entrance · India · UGA 4 marks Geometric Sequences and Series Arithmetic-Geometric Sequence Interplay
Suppose $a, b$ and $c$ are three numbers in G.P. If the equations $ax^2 + 2bx + c = 0$ and $dx^2 + 2ex + f = 0$ have a common root, then $\frac{d}{a}, \frac{e}{b}$ and $\frac{f}{c}$ are in
(A) A.P.
(B) G.P.
(C) H.P.
(D) none of the above
Suppose $a, b$ and $c$ are three numbers in G.P. If the equations $ax^2 + 2bx + c = 0$ and $dx^2 + 2ex + f = 0$ have a common root, then $\frac{d}{a}, \frac{e}{b}$ and $\frac{f}{c}$ are in\\
(A) A.P.\\
(B) G.P.\\
(C) H.P.\\
(D) none of the above