Find the Vertices and Locate the Foci for the Hyperbola $$\frac { y ^ { 2 } } { 100 } - \frac { x ^ { 2 } } { 121 } = 1$$

question 9

Multiple Choice

Find the vertices and locate the foci for the hyperbola whose equation is given.
- $$\frac { y ^ { 2 } } { 100 } - \frac { x ^ { 2 } } { 121 } = 1$$

• A) vertices: \(( 0 , - 10 ) , ( 0,10 )\)
• foci: \(( 0 , - \sqrt { 221 } ) , ( 0 , \sqrt { 221 } )\)
• B) vertices: \(( - 11,0 ) , ( 11,0 )\)
• foci: \(( - \sqrt { 221 } , 0 ) , ( \sqrt { 221 } , 0 )\)
• C) vertices: \(( 0 , - 10 ) , ( 0,10 )\)
• foci: \(( - \sqrt { 221 } , 0 ) , ( \sqrt { 221 } , 0 )\)
• D) vertices: \(( - 10,0 ) , ( 10,0 )\)
• foci: \(( - 11,0 ) , ( 11,0 )\)

---

Definitions:

Optimal Quantity

The ideal amount of a good or service that achieves the best possible outcome or utility for a consumer or company, balancing cost and benefits.

Minimum Variable Cost

The lowest point on the curve where a firm covers all its variable costs of production without considering fixed costs, often relevant in short-run output decisions.

Competitive Market

A market structure characterized by a large number of buyers and sellers, where no single entity has the power to significantly influence market prices.

Firm

An organization that utilizes resources to produce goods or services for profit.