Give the eccentricities of conic sections with one focus at the

Chesley

Chesley

Answered question

2021-08-14

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=15, y=10

Answer & Explanation

Delorenzoz

Delorenzoz

Skilled2021-08-15Added 91 answers

Step 1
Given: e=15, y=10
Step 2
For a conic with a focus at the origin, if the directrix is y=± p, where p is a positive real number, and the eccentricity is a positive real number e, the conic has a polar equation
r=ep1± esinθ
For e=15, y=10
r=15×(10)115sinθ
=25sinθ5
=105sinθ

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