The polar coordinate of a point P is left(2, | vedclass

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(A) The polar coordinate of point $P$ is given as $\left(2, -\frac{\pi}{4}\right)$.Since the line segment $PQ$ is bisected perpendicularly by the init

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$\left(2, \frac{\pi}{4}\right)$

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(A) The polar coordinate of point $P$ is given as $\left(2, -\frac{\pi}{4}ight)$.Since the line segment $PQ$ is bisected perpendicularly by the initial line (the $X$-axis),point $Q$ must be the reflection of point $P$ across the $X$-axis.In polar coordinates $(r, 	heta)$,reflecting a point across the initial line changes the sign of the angle $	heta$ while keeping $r$ constant.Therefore,the reflection of $\left(2, -\frac{\pi}{4}ight)$ across the $X$-axis is $\left(2, -\left(-\frac{\pi}{4}ight)ight) = \left(2, \frac{\pi}{4}ight)$.Thus,the coordinates of $Q$ are $\left(2, \frac{\pi}{4}ight)$.

The polar coordinate of a point $P$ is $\left(2, -\frac{\pi}{4}\right)$. The polar coordinate of the point $Q$,which is such that the line joining $PQ$ is bisected perpendicularly by the initial line,is

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