Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the arguments of 
and 
are equal, then the locus of Z is part of a circle with centre (a, b) . The value 
is
Text Solution
Verified by ExpertsThe correct answer is:
0.5
(0.5)
Let, Z = x + iy
Now,
= x 2 + y 2 - 3x + 2 + iy
argument of 
Now, since both arguments are equal
x 2 + y 2 - 3x + 2 = y (where, y > 0)
x 2 + y 2 - 3x - y + 2 = 0
Hence, the center of the circle is 
= (a, b)
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