Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 
are real numbers in G.P. such that 
and 
are positive, then the roots of the equation 
A
are real and are in ratio 
B
are real
C
are imaginary and are in ratio 1 : 
, where 
is a complex cube root of unity
, where is a complex cube root of unity D
are imaginary and are in ratio- 
Text Solution
Verified by ExpertsThe correct answer is:
C
Since 
are in G.P.,
Given equation:
Discriminant:
Using 
,
Since 
,
So roots are imaginary.
Now roots are
Using 
,
But
Hence roots are proportional to
i.e. ratio
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