Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The minimum value of 
, where 
, care all not equal integers and 
is a cube root of unity, is [JEE (Main) 2005]
A
B
C
1
D
0
Text Solution
Verified by ExpertsThe correct answer is:
C
Let 
. Then,
It is given that 
are integers not all equal. This means that at least two are unequal i.e. either 
or 
or 
.
If 
and 
or 
, then 
and 
Similarly, in all other cases, we have 
.
Hence, the minimum value of 
is 1.
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