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Solve the Problem x2y216=1x ^ { 2 } - \frac { y ^ { 2 } } { 16 } = 1

Question 229

Multiple Choice

Solve the problem.
-Find the foci and asymptotes of the following hyperbola: x2y216=1x ^ { 2 } - \frac { y ^ { 2 } } { 16 } = 1


A) Foci: (17,0) ,(17,0) ;( \sqrt { 17 } , 0 ) , ( - \sqrt { 17 } , 0 ) ; Asymptotes: y=14x,y=14xy = \frac { 1 } { 4 } x , y = - \frac { 1 } { 4 } x
B) Foci: (4,0) ,(4,0) ( 4,0 ) , ( - 4,0 ) ; Asymptotes: y=14x,y=14xy = \frac { 1 } { 4 } x , y = - \frac { 1 } { 4 } x
C) Foci: (0,17) ,(0,17) ;( 0 , \sqrt { 17 } ) , ( 0 , - \sqrt { 17 } ) ; Asymptotes: y=4x,y=4xy = 4 x , y = - 4 x
D) Foci: (17,0) ,(17,0) ( \sqrt { 17 } , 0 ) , ( - \sqrt { 17 } , 0 ) ; Asymptotes: y=4x,y=4xy = 4 x , y = - 4 x

Correct Answer:

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