Find the Equation of the Ellipse Satisfying the Given Conditions $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 36 } = 1$

question 36

Multiple Choice

Find the equation of the ellipse satisfying the given conditions.
-(4, 0) , (-4, 0) , (0, 3) , (0, -3) are the endpoints of the major and minor axes.

• A) \(\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 36 } = 1\)
• B) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 16 } = 1\)
• C) \(\frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 9 } = 1\)
• D) \(\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 1\)

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Definitions:

Frequency

The rate at which something occurs over a particular period or in a given sample.

Deception

The act of misleading or tricking someone through false statements or actions.

Anger

A strong feeling of displeasure or hostility triggered by what is perceived as wrong or threatening.

Fear

A distressing sensation triggered by the conviction that an individual or entity presents danger, could inflict suffering, or is a hazard.