MODERATE EXERCISES


(1)

 Find an equation that represents a hyperbola 
on which the closest points to the origin are (-4,0) and (4,0) and which 
has asymptotic lines y = 3x and y = -3x

HINT:

Since the hyperbola has x intercepts, the general form to use is

 x2    y2
--- - --- = 1
 a2    b2

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