Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Consider the equation 
, where 
.
(i) If 
, then 
represents
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(i) , (ii) , (iii)
……… . (i)
………… . (ii)
Eliminating 
from (i) and (ii), we get
If 
, then 
represents one point on the Argand plane. If 
and 
, then no such 
exists. Adding (i) and (ii),
This is of the form 
, where 
is real.
Hence, locus of 
is a straight line.
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