Describe the Given Set of Points with a Single Equation $\left( \frac { x } { 6 } \right) ^ { 2 } + \left( \frac { y } { - 4 } \right) ^ { 2 } + 1 = 36$

question 189

Multiple Choice

Describe the given set of points with a single equation or with a pair of equations.
-The circle of radius 6 centered at the point (6, -4, 36) and lying in a plane parallel to the xy-plane

• A) \(\left( \frac { x } { 6 } \right) ^ { 2 } + \left( \frac { y } { - 4 } \right) ^ { 2 } + 1 = 36\)
• B) \(( x - 6 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 36\) and \(z = 36\)
• C) \(( x - 6 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 36\) and \(x + y = 2\)
• D) \(\left( \frac { x } { 6 } \right) ^ { 2 } + \left( \frac { y } { - 4 } \right) ^ { 2 } = 36\) and \(z = 36\)

---

Definitions:

Genital Warts

A sexually transmitted infection (STI) caused by certain strains of the human papillomavirus (HPV), characterized by the growth of warts in the genital area.

Vaccine

A biological preparation that provides active acquired immunity to a particular infectious disease.

Sexually Active

Engagement in sexual activities with one or more partners, often implying the risk of sexually transmitted infections if protective measures are not taken.

Retirement Stage

A phase in an individual's life following the cessation of full-time work, often focused on leisure, volunteering, and personal interests.