Convert the Rectangular Equation to Polar Form $\left( x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } = 9 \left( x ^ { 2 } - y ^ { 2 } \right)$

question 39

Multiple Choice

Convert the rectangular equation to polar form.Assume r > 1.​ $\left( x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } = 9 \left( x ^ { 2 } - y ^ { 2 } \right)$ ​

• A) \(r ^ { 2 } = 9 \cos 2 \theta\)
• B) \(r ^ { 2 } = 9 \csc 2 \theta\)
• C) \(r ^ { 2 } = 9 \cos \theta\)
• D) \(r ^ { 2 } = 9 \sin 2 \theta\)
• E) \(r ^ { 2 } = 9 \sin \theta\)

---

Definitions:

Formal Third-party Intervention

The involvement of an external, neutral party in a dispute or negotiation to help resolve differences or facilitate an agreement.

Surrender Control

The act of relinquishing authority, power, or management over something to someone else.

Imposed Intervention

An intervention or action that is forced upon individuals or groups without their consent.

From Without

Originating from outside a specified entity or context.