SOLUTION: 1. The Foci of a hyperbola are F1(-12,7) and F2(18,7). The difference between the distances from any point, P(x,y), on the hyperbola, to its Foci, is 18. Determine the equation of

Question 820034: 1. The Foci of a hyperbola are F1(-12,7) and F2(18,7). The difference between the distances from any point, P(x,y), on the hyperbola, to its Foci, is 18. Determine the equation of the hyperbola.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The Foci of a hyperbola are F1(-12,7) and F2(18,7). The difference between the distances from any point, P(x,y), on the hyperbola, to its Foci, is 18. Determine the equation of the hyperbola.
***
Given hyperbola has a horizontal transverse axis. (determined from foci data)
Its standard form of equation: ,(h,k)=(x,y) coordinates of center
center:(3,7)
F1p-F2p=18=2a
a=9a
a^2=81
c=15
c^2=225
c^2=a^2+b^2
b^2=c^2-a^2=225-81=144
b=12
..
Equation of given hyperbola:

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