If three complex numbers are in A.P. then they lie on a _____in the complex plane.

Question

Professor PC Thomas Classes · Answer

False If $z_{1}, z_{2}, z_{3}$ are in A.P. then, $\frac{z_{1}+z_{3}}{2}=z_{2}$\ $\Rightarrow \quad z_{2}$ is mid pt. of line joining $z_{1}$ and $z_{3}$.\ $\Rightarrow \quad z_{1}, z_{2}, z_{3}$ lie on a st. line\ $	herefore \quad$ Given statement is false\