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?

\({\rm{d}},{\rm{e}},{\rm{f\;are\;in\;A}}.{\rm{P}}.\)

\(\frac{{\rm{d}}}{{\rm{a}}},\frac{{\rm{e}}}{{\rm{b}}},\frac{{\rm{f}}}{{\rm{c}}}{\rm{\;are\;in\;A}}{\rm{.P}}{\rm{.}}\)

\({\rm{d}},{\rm{e}},{\rm{f\;are\;in\;G}}{\rm{.P}}{\rm{.}}\)

\(\frac{{\rm{d}}}{{\rm{a}}},\frac{{\rm{e}}}{{\rm{b}}},\frac{{\rm{f}}}{{\rm{c}}}{\rm{\;are\;in\;G}}{\rm{.P}}{\rm{.}}\)

If three distinct numbers a, b, c are in G.P. and the equations ax2 +

1.	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?
A.	\(\frac{{\rm{d}}}{{\rm{a}}},\frac{{\rm{e}}}{{\rm{b}}},\frac{{\rm{f}}}{{\rm{c}}}{\rm{\;are\;in\;A}}{\rm{.P}}{\rm{.}}\)
B.	\({\rm{d}},{\rm{e}},{\rm{f\;are\;in\;A}}.{\rm{P}}.\)
C.	\({\rm{d}},{\rm{e}},{\rm{f\;are\;in\;G}}{\rm{.P}}{\rm{.}}\)
D.	\(\frac{{\rm{d}}}{{\rm{a}}},\frac{{\rm{e}}}{{\rm{b}}},\frac{{\rm{f}}}{{\rm{c}}}{\rm{\;are\;in\;G}}{\rm{.P}}{\rm{.}}\)
Answer» B. \({\rm{d}},{\rm{e}},{\rm{f\;are\;in\;A}}.{\rm{P}}.\)

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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?

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