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:

Par Value

The nominal value of a bond, stock, or coupon as stated in the financial instrument.

Shares

Ownership stakes in a company or financial asset that entail a proportional share in any distributed profits via dividends, should any be announced.

No-Par Common Stock

Common stock issued without a par value that has been assigned for its shares.

Stated Value

A value assigned to a corporation's stock for accounting purposes, which may bear no relation to the market value.