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  4. 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 θ, then the principal amplitude of the point B is

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Q. $ 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

WBJEEWBJEE 2008Complex Numbers and Quadratic Equations

Solution:

Amplitude of point

$B = \pi + \theta$

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