Description:

Consider the polar coordinates as P (r, 0).

Here, r is the directed distance from origin Oto point Pand O is the directed angle from initial ray to OP.

From the given equation, the range of ris from 1 to infinity.

The 0 varies over any interval of length . \(\displaystyle{2}\pi\).Therefore, the given polar point traces a circle of radius 1 and centered at origin O (0, 0). The external area of the circle represents the given equation \(r \geq1\).

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

Figure 1.