Find Two Functions Defined Implicitly by the Given Relation $$x ^ { 2 } - y ^ { 2 } = 100$$

question 174

Multiple Choice

Find two functions defined implicitly by the given relation.
- $$x ^ { 2 } - y ^ { 2 } = 100$$

• A) \(y = \sqrt { x ^ { 2 } - 100 }\) or \(y = \sqrt { x ^ { 2 } + 100 }\)
• B) \(y = + ( x - \sqrt { 100 } )\) or \(y = - ( x - \sqrt { 100 } )\)
• C) \(y = + \sqrt { x ^ { 2 } - 100 }\) or \(y = - \sqrt { x ^ { 2 } - 100 }\)
• D) \(y = x - \sqrt { 100 }\) or \(y = x + \sqrt { 100 }\)

---

Definitions:

Puritan Church

The church established by Puritans in the New England colonies, emphasizing a strict and simplistic lifestyle based on their interpretations of Christianity.

Legal Code

A set of laws adopted by a state or country as a body of rules that are enforceable by law enforcement and judicial authorities.

Sugar Industry

A sector of the economy focused on the production, processing, and distribution of sugar from sugar cane or sugar beets.

Lesser Antilles

A group of islands in the Caribbean Sea, part of the West Indies, divided into the Leeward Islands and the Windward Islands.