Question 636108
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
Write the equation of a circle that has the center on the x-axis, 
a radius of 1, and passes through the point 
({{{ (sqrt( 2)/2) }}},{{{(sqrt(2)/2)}}})
  (x,0)
 D = {{{sqrt((sqrt( 2)/2 -x )^2 + 2/4))}}} = 1  , {{{sqrt( 2)/2)}}} -x  =± {{{1/sqrt(2) = sqrt(2)/2}}} , x = {{{sqrt(2)}}}
  
{{{(x-sqrt(2))^2 + y^2 = 1^2}}}

{{{drawing(300,300,   -6, 6, -6, 6,  grid(1),
circle(sqrt(2), 0,0.2),
circle(sqrt(2), 0,1.0),
circle(sqrt(2)/2, sqrt(2)/2,0.2),
graph( 300, 300, -6, 6, -6, 6))}}}