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

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 $y = x + \sqrt { 100 }$