Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.x2 - 25y2 - 6x + 50y - 41 = 0

A. center: (1, 3)
transverse axis: y = 3
vertices: (-4, 3) and (6, 3)
foci: (1 - , 3) and (1 + , 3)
asymptotes: y - 3 = - (x - 1) and y - 3 = (x - 1)
B. center at (3, 1)
transverse axis: x = 3
vertices: (3, -4) and (3, 6)
foci: (3, 1 - ) and (3, 1 + )
asymptotes: y + 1 = - 5(x + 3) and y + 1 = 5(x + 3)
C. center: (3, 1)
transverse axis: y = 1
vertices: (2, 1) and (4, 1)
foci: (3 - , 1) and (3 + , 1)
asymptotes: y - 1 = - 5(x - 3) and y - 1 = 5(x - 3)
D. center: (3, 1)
transverse axis: y = 1
vertices: (-2, 1) and (8, 1)
foci: (3 - , 1) and (3 + , 1)
asymptotes: y - 1 = - (x - 3) and y - 1 = (x - 3)


Answer: D

Mathematics

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