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Find the Vertices, Foci and Asymptotes of the Hyperbola 5x25y2+40x50y=705 x ^ { 2 } - 5 y ^ { 2 } + 40 x - 50 y = 70

Question 28

Multiple Choice

Find the vertices, foci and asymptotes of the hyperbola.
5x25y2+40x50y=705 x ^ { 2 } - 5 y ^ { 2 } + 40 x - 50 y = 70


A) The foci are (4,5) ,(1/5,5) ( - 4 , - 5 ) , ( 1 / 5 , - 5 )
B) The vertices are (4±5,5) ( 4 \pm \sqrt { 5 } , 5 )
C) The foci are (4±1/10,5) ( - 4 \pm 1 / 10,5 )
D) The vertices are (±1/5,5) ( \pm 1 / 5 , - 5 )
E) The asymptote is y=±x+1y = \pm x + 1
F) The asymptotes are y=±1xy = \pm 1 x

Correct Answer:

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