# How do you name the curve given by the conic #r=4/(1+2sintheta)#?

##### 1 Answer

Aug 13, 2016

#### Answer:

Hyperbola.

#### Explanation:

The polar equation

eccentricity is e. A focus is the pole and the line from the pole away

from the center is the initial line

As

transforming

we get the equation in the given form

This transformation is rotation of the initial line through

For e > 1, the conic is named a hyperbola..

Here

the semi major axis the hyperbola

,