- #1
darshanpatel
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Homework Statement
Find an equation of a hyperbola such that for any point (x,y) on the hyperbola, the difference between its distances from the points (2,2) and (10,2) is 6.
Homework Equations
-None-
The Attempt at a Solution
I tried graphing it and making the (10,2) and (2,2) the vertices of the graphs. They open left to right because the points are horizontal to each other.
Equation for that type of circle: (y-k)^2/(a^2)-(x-h)^2/(b^2)=1
Distance between the two vertices =6 so center is (3,2)
I don't know what to do to get the a and b values because the equation right now would be:
(((y-2)^2)/(a^2))-(((x-3)^2)/(b^2))=1
Also is that right this far?