Find an Equation for the Ellipse Described $( 6,4 )$ ; Focus At

question 96

Multiple Choice

Find an equation for the ellipse described.
-Center at $( 6,4 )$ ; focus at $( 10,4 )$ ; vertex at $( 12,4 )$

• A) \(\frac { ( x + 6 ) ^ { 2 } } { 36 } + \frac { ( y + 4 ) ^ { 2 } } { 20 } = 1\)
• B) \(\frac { ( x - 6 ) ^ { 2 } } { 81 } + \frac { ( y + 4 ) ^ { 2 } } { 8 } = 2\)
• C) \(\frac { ( x + 6 ) ^ { 2 } } { 16 } - \frac { ( y - 4 ) ^ { 2 } } { 16 } = 1\)
• D) \(\frac { ( x - 6 ) ^ { 2 } } { 36 } + \frac { ( y - 4 ) ^ { 2 } } { 20 } = 1\)

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Definitions:

Agoraphobia

An anxiety disorder characterized by an intense fear of being in places where escape might be difficult or embarrassing, or help might not be available in the event of a panic attack.

Panic Disorder

A psychiatric disorder characterized by sudden, repeated episodes of intense fear accompanied by physical symptoms like chest pain, heart palpitations, and shortness of breath.

Panic Disorder

A psychiatric disorder characterized by unexpected and repeated episodes of intense fear or discomfort along with physical symptoms.

Open Places

A term that typically refers to expansive, unenclosed areas that may induce anxiety in individuals with agoraphobia.