If three distinct number $a, b, c$ are in $G.P.$ and the equations $ax^2 + 2bc + c = 0$ and $dx^2 + 2ex + f = 0$ have a common root, then which one of the following statements is correct?
If three distinct number $a, b, c$ are in $G.P.$ and the equations $ax^2 + 2bc + c = 0$ and $dx^2 + 2ex + f = 0$ have a common root, then which one of the following statements is correct?
- [JEE MAIN 2019]
- A
$\frac{d}{a},\frac{e}{b},\frac{f}{c}$ are in $A.P$
- B
$d, e, f$ are in $A.P$
- C
$\frac{d}{a},\frac{e}{b},\frac{f}{c}$ are in $G.P$
- D
$d, e, f$ are in $G.P$
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- [IIT 2017]