   Chapter 10, Problem 124RE

Chapter
Section
Textbook Problem

# Finding a Polar Equation In Exercises 123-126, find a polar equation Tor the conk with its focus at the pole and the given vertex or vertices. Conic Vertex or Vertices Parabola ( 3 ,   π )

To determine

To calculate: The polar equation for the parabola whose focus is the pole and the vertex is (3,π).

Explanation

Given:

The given conic is a parabola with its focus at the pole and the vertex, (3,π).

Formula used:

The graph of a polar equation is of the form,

r=ed1±ecosθr=ed1±esinθ

Here, e>0 is the eccentricity and |d| is the distance between the focus at the pole and its corresponding directrix.

Calculation:

Given, the focus of the parabola at the pole and the vertex of the parabola as (3,π).

Convert the coordinates of the vertex into rectangular coordinates.

Here, r=3 and θ=π

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