How do you find the eccentricity, directrix, focus and classify

Malaki Aguilar

Malaki Aguilar

Answered question

2022-02-10

How do you find the eccentricity, directrix, focus and classify the conic section r=21+2cosθ?

Answer & Explanation

iluvyou234521ip

iluvyou234521ip

Beginner2022-02-11Added 12 answers

Eccentricity is 2, Focus is at the pole (0,π2)
Directrix is p=1 unit at right from the pole.
Conic: Hyperbola
Explanation:
r=21+2cosθ. The equation is in the form
r=ep1+ecosθ;e=2 since e>1 the conic is hyperbola. r=ep1+ecosθ;ep=2p=1
Directrix is at p=1 unit at right from the pole.
Eccentricity is 2, Focus is at the pole (0,π2)

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