Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Complex numbers 
satisfy the equation 
.
(i) The difference between the least and the greatest moduli of complex numbers is
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(i) , (ii) , (iii)
We have 
and 
and 
and 
Hence, the least modulus is 
and the greatest modulus is 
. Also,
Now, 
Hence, 
lies in the direction of 
.
We have
is purely real
Similarly for 
, we have 
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