Question

For a complex number z, the minimum value of $|z|+|z-2|$ is

• A. $1$
• B. $2$
• C. $3$
• D. None of these

Answer 1

The correct option is B $2$

The question is infact asking the distance of an arbitrary point z from the origin and a point on the real axis, (2, 0).
Thus, the minimum distance will be when z is also on the real axis between the two points and thus the minimum distance comes out to be 2 units.