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  4. The polar co-ordinates of P are (2, (π/6)). If Q is the image of P about the X-axis then the polar co-ordinates of Q are ......

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Q. The polar co-ordinates of $P$ are $\left(2, \frac{\pi}{6}\right)$. If $Q$ is the image of $P$ about the $X$-axis then the polar co-ordinates of $Q$ are $......$

MHT CETMHT CET 2019

Solution:

We have, polar coordinates of $P$ are $\left(2, \frac{\pi}{6}\right)$.
If $Q$ is the image of $P$ about the $X$ -axis
$\therefore Q \equiv\left(2-\frac{\pi}{6}\right)$
$\Rightarrow Q \equiv\left(2, \frac{11 \pi}{6}\right)$
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