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Question: Answered & Verified by Expert
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 line joining $P Q$ is bisected perpendicularly by the initial line, is
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Options:
  • A $\left(2, \frac{\pi}{4}\right)$
  • B $\left(2, \frac{\pi}{6}\right)$
  • C $\left(-2, \frac{\pi}{4}\right)$
  • D $\left(-2, \frac{\pi}{6}\right)$
Solution:
1336 Upvotes Verified Answer
The correct answer is: $\left(2, \frac{\pi}{4}\right)$
Since, $Q$ is the point for which $P Q$ is bisected perpendicularly by the initial line $(X$ -axis). Therefore, $Q$ will be the image of $P$ in $X$ -axis
$\therefore$ Coordinates of $Q$ is $(2, \pi / 4)$

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