asked 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
asked
User Aleli
by
8.5k points

2 Answers

3 votes

Answer:

D

Explanation:

edge

answered
User WaltiD
by
8.0k 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

answered
User Peter McKenzie
by
8.2k points
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