Question 972995: Find the vertices, foci, and the equations of the asymptotes of the hyperbola (x^2/16)+(y^2/64)=1
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!  ....this is an ellipse, not hyperbola
looking at the denominators, I see that  and  ,
so
semi-minor axis length 
and
semi-major axis length 
the equation  tells me that
 ,
so 
since  and  , then the center is at
( ,  ) = ( , )
the vertices are at (,  ) and (, )
=> (, ) and (, ),
and the foci at (, )
=
=
=
=
(,  ) and (, )
asymptotes:
Ellipses do not have asymptotes. Hyperbolas do, but Ellipses do not.
if it’s minus
 then you have hyperbola
and  ,  , 
so,
foci is at:
( , ) and ( , )
or ( , ) and ( , )
vertices: ( , ) and ( , )
center :(, )
semimajor axis length:
semiminor axis length: 
eccentricity : => or 
asymptotes : and 
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