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

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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(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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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 = sqrt%285%5E2+-+3%5E2%29 = 4.


The sought equation of the hyperbola is therefore


    x%5E2%2F3%5E2 - y%5E2%2F4%5E2 = 1.

Solved.