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.
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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
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Equation of given hyperbola:
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