SOLUTION: Find the equation of the families of circles of radius 1 and centers on the line y=x.

Algebra ->  Circles -> SOLUTION: Find the equation of the families of circles of radius 1 and centers on the line y=x.      Log On


   

Question 975694: Find the equation of the families of circles of radius 1 and centers on the line y=x.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
In general, the equation of the circle is,
%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2
If the center is on the line, then,
y=x
k=h
and
R=1
%28x-h%29%5E2%2B%28y-h%29%5E2=1
Where h can take on any value.
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