Find the Standard-Form Equation of the Ellipse Centered at the Origin

question 192

Multiple Choice

Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.
-An ellipse with vertices $( 0 , \pm 9 )$ and foci at $( 0 , \pm 2 \sqrt { 3 } )$ .

• A) \(\frac { x ^ { 2 } } { 69 } + \frac { y ^ { 2 } } { 81 } = 1\)
• B) \(\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 69 } = 1\)
• C) \(\frac { x ^ { 2 } } { 69 } + \frac { y ^ { 2 } } { 93 } = 1\)
• D) \(\frac { x ^ { 2 } } { 12 } + \frac { y ^ { 2 } } { 81 } = 1\)

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Definitions:

Gender Identity

An individual's personal sense of their own gender, which may or may not correspond with their sex assigned at birth.

Gender-typing

The process by which individuals learn to conform to cultural norms and expectations regarding their biological sex, often influencing behavior, interests, and personal identity.

Identification

The psychological process where an individual assimilates an aspect, property, or attribute of another and is transformed, wholly or partially, by the model the other provides.

Androgyny

A blend of both masculine and feminine characteristics in an individual's personality, appearance, or behavior.