Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let z and w be non-zero complex numbers such that 
and 
. If w varies, then the perimeter of the locus of z is
A
units
B
units
C
8 units
D
4 units
Text Solution
Verified by ExpertsThe correct answer is:
A
Given, zw = |z| 2 
Now, 
Let, z = x + iy, then we get,
|x|+ |y| = 2
which represents a square of side length equal to 
The perimeter of the locus is 
units
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