Find the Center, Foci, and Vertices of the Ellipse $$\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 64 } = 1$$

question 92

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- $$\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 64 } = 1$$

• A) center at \(( 0,0 )\)
• foci at \(( 0,8 )\) and \(( 4,0 )\)
• vertices at \(( 0,64 ) , ( 16,0 )\)
• B) center at \(( 0,0 )\)
• foci at \(( 0 , - 8 )\) and \(( 0,8 )\)
• vertices at \(( 0 , - 64 ) , ( 0,64 )\)
• C) center at \(( 0,0 )\)
• foci at \(( - 4 \sqrt { 3 } , 0 )\) and \(( 4 \sqrt { 3 } , 0 )\)
• vertices at \(( - 8,0 ) , ( 8,0 )\)
• D) center at \(( 0,0 )\)
• foci at \(( 0 , - 4 \sqrt { 3 } )\) and \(( 0,4 \sqrt { 3 } )\)
• vertices at \(( 0 , - 8 ) , ( 0,8 )\)

---

Definitions:

Ideology

A set of beliefs and principles that underlie a specific economic or political theory and policy.

International Negotiations

The process of negotiating across national boundaries, involving parties from different countries with varying cultural contexts.

Contribute

To provide something, often in a collaborative or collective effort, that aids in achieving a result or fulfilling a need.

Large Modifications

Large Modifications are significant changes or alterations made to something, such as a plan, policy, design, or structure.