Published by:
CGP EDU Academic Team
Published on: August 11, 2026
If 
is a complex number such that 
, then the minimum value of 
. [JEE (Main) 2014]
A
is strictly greater than 
B
is strictly greater than 
but less than 
but less than C
is equal to 
D
lies in the interval 
Text Solution
Verified by ExpertsThe correct answer is:
D
We observe that 
is the set of all points lying on or outside the circle centred at the origin and radius 2 and 
is the distance of any point in 
from the point 
. It is evident from Fig. that 
is minimum when 
coincides with 
and in that case 
which lies in the interval 
.
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