Question

$A$ and $B$ are two points on the Argand plane such that the segment $AB$ is bisected at the point $(0,0)$. If the point $A$, which is in the third quadrant has principal amplitude $\theta$, then the principal amplitude of the point $B$ is

• A. $-\theta$
• B. $\pi -\theta$
• C. $\theta -\pi$
• D. $\pi +\theta$

Answer 1

Answer: (D)

Amplitude of point

$B=\pi +\theta$