Question

Special Polar Equations

Match the polar equation with the graphs labeled $I-IV$. Give reasons for your answers

$r=\frac{1}{\sqrt{\theta }}$

Short answer

Graph of the given equation is matched with l

Step-by-step solution

Step 1. Given information

A polar equation is given as $r=\frac{1}{\sqrt{\theta }}$

Step 2. Concept used

Choose the domain of the angle first. Find r for different$\theta$ . Plot the graph then match with the given four.

Step 3. Calculation

The domain is $0\le \theta \le 12\pi$