Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If a complex number z lie on a circle of radius 
units, then the complex number 
= - 1 + 4z will always lie on a circle of radius k units, where k is equal to
Text Solution
Verified by ExpertsThe correct answer is:
2
(2)
Let us assume that z lies on a circle with center z 0 (fixed point) and radius 
units.
Now, 
Now, taking modulus on both sides, we get,
Locus of 
represents the circle having centre (-1 + 4z 0 ) and radius 2 units.
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