SOLUTION: If foci of a hyperbola are (0,±5) and length of semi transverse axis is 3 units, then find the equation of hyperbola.

Question 1184487: If foci of a hyperbola are (0,±5) and length of semi transverse axis is 3 units, then find the equation of hyperbola.
Answer by ikleyn(52797) (Show Source): You can put this solution on YOUR website!
.


Then the hyperbola is centered at the origin of the coordinate system,

the transverse semi-axis is along x-axis.


The length of the conjugate semi-axis is b =  = 4.


The sought equation of the hyperbola is therefore


     -  = 1.

Solved.

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