# How do you identify the conic of ##r = 3/(1 - sinx)?

##### 3 Answers

Parabola. See explanation.

#### Explanation:

Referred to the/a focus S as r =0 and the perpendicular from S to

the ( or corresponding ) directrix as the the initial line

the equation to a conic is

(

= 1 + (eccentricity of the conic )

If the perpendicular is along

becomes

The conic is an ellipse, parabola or hyperbola according as

Here,

perpendicular from S to the directrix is along

The Cartesian equivalent is

The graph is immediate.

graph{3 - sqrt ( x^2 + y^2) + y = 0}

.

Parabola

#### Explanation:

Letâ€™s see by first putting it in rectangular form:

Square both sides:

**Since** **this is parabola , directrix is** **unit below
focus (pole) and parallel to the polar axis.**

#### Explanation:

The polar equation of conic is

directrix is below the pole.

a parabola. If

If #e > 1=, then the conic is a hyperbola.

Since

focus (pole) and parallel to the polar axis. [Ans]