Question 812335: The foci of a hyperbola are F1(-20,0) and F2(20,0). The difference between the distances from any point, P(x,y), on the hyperbola, to its foci, is 24. 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(-20,0) and F2(20,0). The difference between the distances from any point, P(x,y), on the hyperbola, to its foci, is 24. Determine the equation of the hyperbola.
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Hyperbola has a horizontal transverse axis.
Its standard form of equation:  , (h,k) =(x,y) coordinates of center.
center: (0,0)
2a=24
a=12
a^2=144
c=20(distance from center to foci)
c^2=a^2+b^2
b^2=c^2-a^2=400-144=256
b^2=256
b=√256=16
Equation:
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