Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let 
and 
be two fixed non-zero complex numbers and 
a variable complex number. If the lines 
and 
are mutually perpendicular, then
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
We are asked:
Two lines in the complex plane:
are perpendicular. Find the condition on 
.
Recall slope condition
A line 
has slope: 
Two lines perpendicular if the product of slopes 
For lines 
and 
, perpendicularity condition is:
In complex notation, this becomes:
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