Find the Center, Foci, and Asymptotes of the Hyperbola $$x ^ { 2 } - \frac { y ^ { 2 } } { 25 } = 1$$

question 57

Multiple Choice

Find the center, foci, and asymptotes of the hyperbola.
- $$x ^ { 2 } - \frac { y ^ { 2 } } { 25 } = 1$$

• A) C: \(( 0,0 ) ; F : ( 5,0 ) , ( - 5,0 ) ; A : y = \frac { 1 } { 5 } x , y = - \frac { 1 } { 5 } x\)
• B) C: \(( 0,0 ) ; F : ( \sqrt { 26 } , 0 ) , ( - \sqrt { 26 } , 0 ) ; A : y = 5 x , y = - 5 x\)
• C) C: \(( 0,0 ) ; F : ( \sqrt { 26 } , 0 ) , ( - \sqrt { 26 } , 0 ) ; A : y = \frac { 1 } { 6 } x , y = - \frac { 1 } { 6 } x\)
• D) C: \(( 5,0 ) ; F : ( \sqrt { 26 } , 0 ) , ( - \sqrt { 26 } , 0 ) ; A : y = \frac { 1 } { 5 } x , y = - \frac { 1 } { 5 } x\)

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Definitions:

Volume

The amount of space that a substance or object occupies, or that is enclosed within a container.

Cognitive Development

The process of growth and change in intellectual/mental abilities such as thinking, reasoning, and understanding over the course of a person's life.

Piaget

A Swiss developmental psychologist and philosopher known for his pioneering work in child development and his theory of cognitive development in children.

Symbolic Thinking

The ability to use symbols, signs, or objects to represent ideas or concepts, significant in language development and creative thinking.