- #1
vorse
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Homework Statement
Which of the following is the set of orthogonal trajectories for the family indicated by
(x-c)^2 + y^2 = c^2
a). (x-c)^2 + y^2 = c^2
b). (x-c)^2 - y^2 = c^2
c). x^2 + (y-c)^2 = c^2
d). x^2 - (y-c)^2 = c^2
e). None of the above
Homework Equations
I think this is a homogenous equation after playing with the variables and substituting for C. I came up with:
y' = (y^2 - x^2)/xy
I then substitute y=xv after setting y' = 1/y' for the orthogonal trajectories and tried to solve the equation, but ended up with answers no where close to the choices.