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The polar equation $\cos \theta+7 \sin \theta=\frac{1}{r}$ represents a
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2315 Upvotes
Verified Answer
The correct answer is:
straight line
Polar equation is
$$
\begin{aligned}
& \quad \cos \theta+7 \sin \theta=\frac{1}{r} \\
& \Rightarrow r \cos \theta+7 r \sin \theta=1 \\
& \text { Put } \quad x=r \cos \theta, y=r \sin \theta \text {, we get } \\
& \Rightarrow \quad x+7 y=1
\end{aligned}
$$
This is the equation of straight line.
$$
\begin{aligned}
& \quad \cos \theta+7 \sin \theta=\frac{1}{r} \\
& \Rightarrow r \cos \theta+7 r \sin \theta=1 \\
& \text { Put } \quad x=r \cos \theta, y=r \sin \theta \text {, we get } \\
& \Rightarrow \quad x+7 y=1
\end{aligned}
$$
This is the equation of straight line.
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