Question

For a complex number z, the minimum value of $\left|z\right|+|z-cos\alpha -isin\alpha |$ is

• A. 1
• B. 2
• C. None of these

Answer 1

The correct option is A 1

We are finding out sum of distances of a complex number z from origin and $(cos\alpha ,sin\alpha )$. This sum will be minimum if z lies on the line joining the two points and minimum value of sum will be the distance between two points i.e., 1.