Polar Co-ordinates
Category : JEE Main & Advanced
Let \[OX\] be any fixed line which is usually called the initial line and O be a fixed point on it. If distance of any point P from the O is \['r'\] and \[\angle XOP=\theta \], then \[(r,\,\,\theta )\]are called the polar co-ordinates of a point P.
If \[(x,\,\,y)\] are the cartesian co-ordinates of a point P, then
\[x=r\,\cos \theta ;\,\,y=r\sin \theta \]
and \[r=\sqrt{{{x}^{2}}+{{y}^{2}}};\,\,\,\theta ={{\tan }^{-1}}\left( \frac{y}{x} \right)\].
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