Find the Equation of the Ellipse Satisfying the Given Conditions $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 36 } = 1$

question 67

Multiple Choice

Find the equation of the ellipse satisfying the given conditions.
-(0, 6) , (0, -6) , (3, 0) , (-3, 0) are the endpoints of the major and minor axes.

• A) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 36 } = 1\)
• B) \(\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 144 } = 1\)
• C) \(\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 9 } = 1\)
• D) \(\frac { x ^ { 2 } } { 6 } + \frac { y ^ { 2 } } { 36 } = 1\)

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Definitions:

Collective Unconscious

A term coined by Carl Jung, referring to structures of the unconscious mind which are shared among beings of the same species.

Shared Environment

The environmental factors that contribute to the similarities in development and behavior among family members living in the same household.

Culture

A program of shared rules that govern the behavior of people in a community or society, and a set of values, beliefs, and customs shared by most members of that community.

Psychological Damage

Harm to a person's mental health or well-being, which can result from traumatic events, abuse, or chronic stress.