Graph the Ellipse and Locate the Foci $$\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 64 } = 1$$

question 11

Multiple Choice

Graph the ellipse and locate the foci.
- $$\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 64 } = 1$$

• A) foci at \(( 0 , \sqrt { 39 } )\) and \(( 0 , - \sqrt { 39 } )\)
• B) foci at \(( \sqrt { 39 } , 0 )\) and \(( - \sqrt { 39 } , 0 )\)
• C) foci at \(( 2 \sqrt { 14 } , 0 )\) and \(( - 2 \sqrt { 14 } , 0 )\)
• D) foci at \(( 0,2 \sqrt { 14 } )\) and \(( 0 , - 2 \sqrt { 14 } )\)

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Definitions:

Ketoses

A type of monosaccharide (simple sugar) that has its carbonyl group (C=O) located at an internal carbon atom, making it a ketone.

Haworth Structure

A method for representing the cyclic structure of monosaccharides with a simple three-dimensional perspective, showing the spatial configuration of each carbon atom and its attached groups.

β-D-Ribofuranose

A sugar molecule that is a component of RNA, featuring a five-membered ring structure.

Stereoisomeric Aldohexoses

Different spatial arrangements of atoms in aldohexose carbohydrates, leading to different physical and chemical properties despite having the same molecular formula.