Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
. If 
contains exactly one positive integer 
, then find the value of 
. [2023 Adv.]
Text Solution
Verified by ExpertsThe correct answer is:
281
(281)
Method I
A 
For 
contains exactly one positive integer, 
must be purely real, i.e. imaginary part of 
must be equal to zero and this occurred when 
So, 
and 
[using elementary trigonometry]
Now, real part of 
Method II
A 
For 
to be purely real, we must have 
so that 
becomes zero.
which is possible because 
.
So, exactly one +ve integer 
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