195k views
5 votes
Determine e, k, and identify the type of conic for r= 12/ 7- cos theta

Determine e, k, and identify the type of conic for r= 12/ 7- cos theta-example-1
User Aleli
by
6.3k points

2 Answers

3 votes

Answer:

D

Explanation:

edge

User WaltiD
by
5.9k points
2 votes

Answer:

The answer is (d) ⇒ e = 1/7 , k = 12 , conic ellipse

Explanation:

∵ r = ek/(1 ± ecosФ)

∵ r = 12/(7 - cosФ) ⇒ ÷ 7 up and down

∴ r = 12/7 ÷ 1 - 1/7 (cosФ)

∴ e = 1/7

∵ 12/7 = ke ⇒ 12/7 = k(1/7)

∴ k = 12

∵ 0 < e < 1

∴ The conic is ellipse

User Peter McKenzie
by
5.8k points