Find the Eccentricity of the Ellipse $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 81 } = 1$

question 392

Multiple Choice

Find the eccentricity of the ellipse. $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 81 } = 1$

• A)Eccentricity: \(e = \frac { 8 \sqrt { 17 } } { 17 }\)
• B)Eccentricity: \(e = \frac { \sqrt { 17 } } { 9 }\)
• C)Eccentricity: \(e = - \frac { \sqrt { 17 } } { 9 }\)
• D)Eccentricity: \(e = \frac { \sqrt { 17 } } { 17 }\)
• E)Eccentricity: \(e = - \frac { 9 \sqrt { 17 } } { 9 }\)

---

Definitions:

Meganeura

An extinct genus of insects from the Carboniferous period, known to include some of the largest known flying insect species.

Dragonfly-Like

Describes an appearance or behavior resembling that of dragonflies, often relating to physical attributes or flight patterns.

Seagull Size

Refers to the physical dimensions or extent of seagulls, which can vary among species and are influenced by factors such as diet and habitat.

Vertebrate Eye

The complex optical system found in vertebrates, composed of structures such as the lens, retina, and optic nerve, enabling vision.