Take two cases of the family of curves and generatedOriginally Posted byling_c_0202

by letting and respectively.

Then find the x-coordinates of the points of intersection of

and (you should find these are and ).

Now substitute these values of back into the RHS of the equation of

and you will find that it is independent of .

So the points corresponding to the values of that you have found are

the same on all the curves (when ).

RonL