Question 970983: Find the general form of an equation of the hyperbola whose vertices are the foci of the ellipse x2/100 + y2/64 =1 and whose foci are the vertices of the ellipse.
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! Find the general form of an equation of the hyperbola
whose vertices are the foci of the ellipse and whose foci are the vertices of the ellipse.
=>  , so  and 
=>  , so 
so,  or 
foci: at ( ,  ) and ( , )=>( , ) and ( , )
vertices: ( , ) and ( , )=> ( ,) and ( , )
then hyperbola has
foci:
( , ) and ( , )
(,) and (, )
vertices:
(, ) and (, )
(,) and (, )
since  and  => then  is
 }
or 
and your equation is:
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