Write the Standard Form of an Equation of the Ellipse $( 6,1 )$

question 56

Multiple Choice

Write the standard form of an equation of the ellipse subject to the given conditions.
-Vertices: $( 6,1 )$ and $( - 12,1 )$
Foci: $( - 3 - \sqrt { 65 } , 1 )$ and $( - 3 + \sqrt { 65 } , 1 )$

• A) \(\frac { ( x - 3 ) ^ { 2 } } { 9 } + \frac { ( y + 1 ) ^ { 2 } } { 4 } = 1\)
• B) \(\frac { ( x + 3 ) ^ { 2 } } { 81 } + \frac { ( y - 1 ) ^ { 2 } } { 16 } = 1\)
• C) \(\frac { ( x + 3 ) ^ { 2 } } { 9 } + \frac { ( y - 1 ) ^ { 2 } } { 4 } = 1\)
• D) \(\frac { ( x - 3 ) ^ { 2 } } { 81 } + \frac { ( y + 1 ) ^ { 2 } } { 16 } = 1\)

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Definitions:

Biological Fact

An objective and proven observation regarding living organisms and their processes.

Sex And Gender

The distinction between sex, a biological concept based on reproductive organs and genetic makeup, and gender, a social construct related to roles, behaviors, and identity.

Sexual Differentiation

The process by which the sexes develop distinct anatomical and physiological differences from a common template during fetal development and puberty.

Complete Androgen Insensitivity Syndrome

A condition in which individuals with XY chromosomes are unresponsive to androgens, leading to the development of female physical traits but male genetic makeup.