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

Answer:
The answer is (d) ⇒ e = 1/7 , k = 12 , conic ellipse
Step-by-step 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