Question

If three complex numbers are in A.P .Then they lie on a circle in the complex plane.

• A. FALSE
• B. TRUE

Answer 1

The correct option is A FALSE

Let three complex numbers be
$Z_1,Z_2\text{and}{Z}_3$

Since , $Z_1,Z_2\text{and}{Z}_3$ are in A.P.
$\Rightarrow \frac{(Z_1+Z_3)}{2}=Z_2$

So $Z_2$ is the mid-point of line segment joining the points $Z_1$ and $Z_3$.

$\therefore Z_1,Z_2,Z_3$ lie on a straight line .

Hence, the given statement is false.