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Find the Center, Foci, and Asymptotes of the Hyperbola y29x216=1\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 16 } = 1

Question 28

Multiple Choice

Find the center, foci, and asymptotes of the hyperbola.
- y29x216=1\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 16 } = 1


A) C: (0,0) ;F:(0,5) ,(0,5) ;A:y=34x,y=34x( 0,0 ) ; F : ( 0 , - 5 ) , ( 0,5 ) ; A : y = \frac { 3 } { 4 } x , y = - \frac { 3 } { 4 } x
B) C:(0,0) ;F:(0,4) ,(0,4) ;A:y=34x,y=34x\mathrm { C } : ( 0,0 ) ; \mathrm { F } : ( 0 , - 4 ) , ( 0,4 ) ; \mathrm { A } : \mathrm { y } = \frac { 3 } { 4 } \mathrm { x } , \mathrm { y } = - \frac { 3 } { 4 } \mathrm { x }
C) C: (0,0) ;F:(5,0) ,(5,0) ;A:y=43x,y=43x( 0,0 ) ; F : ( - 5,0 ) , ( 5,0 ) ; A : y = \frac { 4 } { 3 } x , y = - \frac { 4 } { 3 } x
D) C: (0,0) ;F:(4,0) ,(4,0) ;A:y=43x,y=43x( 0,0 ) ; F : ( - 4,0 ) , ( 4,0 ) ; A : y = \frac { 4 } { 3 } x , y = - \frac { 4 } { 3 } x

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