Give the eccentricities of conic sections with one focus at the origin along with the directrix corresponding to that focus. Find a polar equation for each conic section. e = 2, x = 4

Jason Farmer

Jason Farmer

Answered question

2021-02-25

Give the eccentricities of conic sections with one focus at the origin along with the directrix corresponding to that focus. Find a polar equation for each conic section. e=2, x=4

Answer & Explanation

Faiza Fuller

Faiza Fuller

Skilled2021-02-26Added 108 answers

Step 1

Consider the given: eccentricity, e=2 directrix, x=4 If the eccentricity is greater than 1 then we get a hyperbola. And if the directrix is the line x=d, then we have, r= ed1 + e cos θ

Step 2

According to question: Substitute the value of eccentricity and directrix in polar equation of hyperbola. r= 2(4)1 + 2 cos θ
r= 81 + 2 cos θ

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school geometry

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?