SOLUTION: Find the equation of the hyperbola which satisfies the given condition Center (0,0), transverse axis along y-axis, passing through thepoints (5,3) and (-3,2)

Question 894115: Find the equation of the hyperbola which satisfies the given condition Center (0,0), transverse axis along y-axis, passing through thepoints (5,3) and (-3,2)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the equation of the hyperbola which satisfies the given condition Center (0,0), transverse axis along y-axis, passing through thepoints (5,3) and (-3,2)
***
Given hyperbola has a vertical transverse axis:
Its standard form of equation:
using coordinates of 2 given points, (5,3) and (-3,2)

..
9/a^2-25/b^2=1
4/a^2-9/b^2=1
..
36/a^2-100/b^2=4
36/a^2-81/b^2=9
subtract:
-19/b^2=-5
b^2=19/5
..
81/a^2-225/b^2=9
100/=a^2-225/b^2=25
subtract:
-19/a^2=-16
a^2=19/16
equation:

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