Find the Standard Form of the Equation of the Ellipse $( 7 , - 7 ) , ( 7 , - 1 )$

question 333

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics.
Foci: $( 7 , - 7 ) , ( 7 , - 1 )$ , endpoints of the major axis: $( 7 , - 13 ) , ( 7,5 )$

• A) \(\frac { ( x + 7 ) ^ { 2 } } { 72 } + \frac { ( y - 4 ) ^ { 2 } } { 81 } = 1\)
• B) \(\frac { ( x - 7 ) ^ { 2 } } { 72 } + \frac { ( y + 4 ) ^ { 2 } } { 81 } = 1\)
• C) \(\frac { ( x - 7 ) ^ { 2 } } { 81 } + \frac { ( y + 4 ) ^ { 2 } } { 72 } = 1\)
• D) \(\frac { ( x - 7 ) ^ { 2 } } { 72 } + \frac { ( y + 4 ) ^ { 2 } } { 81 } = - 1\)
• E) \(\frac { ( x - 4 ) ^ { 2 } } { 81 } + \frac { ( y + 7 ) ^ { 2 } } { 72 } = 1\)

---

Definitions:

Serosanguineous Fluid

A type of body fluid that is composed of both serum and blood, indicating a mix of clear and blood-tinged fluid.

Venous Stasis Ulcer

A type of wound that occurs due to improper functioning of venous valves, often in the legs, leading to chronic venous insufficiency and breakdown of the skin.

Anticoagulants

Medications that prevent or reduce blood clotting, often used in the treatment of thrombosis and embolism.

Deep Vein Thrombosis

A medical condition characterized by the formation of a blood clot in a deep vein, typically in the legs.