Find the Standard Form of the Equation of the Ellipse $( \pm 7,0 )$

question 46

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. ​
Vertices: $( \pm 7,0 )$ ;Foci: $( \pm 5,0 )$ ​

• A) \(\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 24 } = 1\)
• B) \(\frac { x ^ { 2 } } { 7 } + \frac { y ^ { 2 } } { 5 } = 1\)
• C) \(\frac { x ^ { 2 } } { 49 } + \frac { y ^ { 2 } } { 24 } = 1\)
• D) \(\frac { x ^ { 2 } } { 49 } + \frac { y ^ { 2 } } { 25 } = 1\)
• E) \(\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 24 } = 1\)

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Definitions:

Derivative Security

A financial instrument whose value is dependent on the value of an underlying asset, such as options or futures.

Common Stock

A type of equity security that represents ownership in a corporation, giving holders voting rights and a share in the company's profits through dividends and/or capital appreciation.

Call Option

The right, but not the obligation, to buy an underlying asset at a specified strike price within a specified time frame.

Futures Contract

A binding contract to trade a certain commodity or financial asset at a fixed price, with the transaction set to occur on a specified date in the future.