Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
be positive valued angles (in radian) such that 
. Define the complex numbers 
for 
, where 
. Consider the Statements 
and 
given below:
Then, [2021 Adv.]
A
is true and 
is false B
is true and 
is false C
Both 
and 
are true
and are true D
Both 
and 
are false
and are false
Text Solution
Verified by ExpertsThe correct answer is:
C
Length of direct distance 
length of arc
i.e. 
length of line 
length of 
.
length of line 
length of 
.
Sum of length of these 10 lines 
sum of length of arcs (i.e. 
)
[because 
, given]
is true.
And 
As we know that
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