Consider the polar coordinates as \(\displaystyle{P}{\left({r},\theta\right)}.\)

Here, r is the directed distance from origin O to point Pand \(\theta\) is the directed angle from initial ray to OP.

From the given equation, the value of \(\theta\) varies from \(\displaystyle-{\frac{{\pi}}{{{2}}}}\) to \(\displaystyle{\frac{{\pi}}{{{2}}}}\) and r varies from 1 to 2.

Polar point traces a circle when r is fixed at constant value and it traces a straight line when \(\theta\) is fixed at constant value.

From the analysis, draw the sets of points whose polar coordinates satisfy the given polar equation as shown in

Figure 1.