Find an Equation for the Ellipse with Center at the Origin

question 60

Multiple Choice

Find an equation for the ellipse with center at the origin, major axis of length $2 \sqrt { 7 }$ , minor axis of length $2 \sqrt { 3 }$
, and whose foci lie on the $y$
-axis

• A) \(\frac { x ^ { 2 } } { 3 } + \frac { y ^ { 2 } } { 7 } = 1\)
• B) \(\frac { x ^ { 2 } } { 12 } + \frac { y ^ { 2 } } { 14 } = 1\)
• C) \(\frac { x ^ { 2 } } { 14 } + \frac { y ^ { 2 } } { 12 } = 1\)
• D) \(\frac { x ^ { 2 } } { 7 } + \frac { y ^ { 2 } } { 3 } = 1\)
• E) none of these

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Definitions:

Coefficients Of Correlation

Numerical indices that represent the strength and direction of the linear relationship between two variables.

Negative Linear Relationship

A relationship between two variables where as the value of one variable increases, the value of the second variable decreases, forming a straight line in a graphical representation.

Variables Of Interest

Specific items or characteristics that researchers aim to study, measure or manipulate within a study.

Confidence Interval

A range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter with a specified level of confidence.