The complex number $u\approx0.54+1.69i$ . What does the locus $|z-u|=2$ represent on an Argand diagram?

AA circle of radius 2, centred at the point representing

u

BA circle of radius 2, centred at the origin, regardless of the value of

u

CA single point, located a distance 2 from

u

along the positive real axis.

DA straight line perpendicular to the line joining the origin to

u

, at distance 2 from

u

Explanation:

|z-u|=2

describes every point

z

whose distance from the fixed point

u

is exactly 2, which is a circle of radius 2 centred at

u

Derived from ZIMSEC Pure Mathematics Paper 2, November 2025, Q4

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