Find the Center, Foci, and Asymptotes of the Hyperbola $$x ^ { 2 } - \frac { y ^ { 2 } } { 16 } = 1$$

question 138

Multiple Choice

Find the center, foci, and asymptotes of the hyperbola.
- $$x ^ { 2 } - \frac { y ^ { 2 } } { 16 } = 1$$

• A) C: \(( 4,0 ) ; \mathrm { F } : ( \sqrt { 17 } , 0 ) , ( - \sqrt { 17 } , 0 ) ; \mathrm { A } : \mathrm { y } = \frac { 1 } { 4 } \mathrm { x } , \mathrm { y } = - \frac { 1 } { 4 } \mathrm { x }\)
• B) C: \(( 0,0 ) ; F : ( 4,0 ) , ( - 4,0 ) ; A : y = \frac { 1 } { 4 } x , y = - \frac { 1 } { 4 } x\)
• C) C: \(( 0,0 ) ; \mathrm { F } : ( \sqrt { 17 } , 0 ) , ( - \sqrt { 17 } , 0 ) ; \mathrm { A } : \mathrm { y } = 4 \mathrm { x } , \mathrm { y } = - 4 \mathrm { x }\)
• D) \(\mathrm { C } : ( 0,0 ) ; \mathrm { F } : ( \sqrt { 17 } , 0 ) , ( - \sqrt { 17 } , 0 ) ; \mathrm { A } : \mathrm { y } = \frac { 1 } { 5 } \mathrm { x } , \mathrm { y } = - \frac { 1 } { 5 } \mathrm { x }\)

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A logical fallacy in which the conclusion of an argument is used as a premise of the same argument; essentially, the reasoning goes in a circle without proving anything.

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