Question

State True and False

All the points z satisfying the condition $\left|z\right|<1$ lie within the circle with origin as centre and radius unity.

Answer 1

The equation $\left|z\right|=1$ represents a circle with origin as centre and redius unity. Hence all the points z satisfying the condition $\left|z\right|<1$ lie within the circle with origin as centre and radius unity.