I'm reading a book about Calculus on my own and am stuck at a problem, the problem is
There are two circles of radius 2 that have centers on the line x = 1 and pass through the origin. Find their equations.
The equation for circle is $(x-h)^2 + (y-k)^2 = r^2$
Any hints will be really appreciated.
EDIT: Here is what I did. I drew a triangle from the origin and applied the pythogoras theorem to find the perpendicular, the hypotenuse being 2 (radius = 2) and base 1 (because x = 1), the value of y-coordinate is $\sqrt3$. Can anyone confirm if this is correct?