SOLUTION: Determine the equations of the equation of the circle defined by the given conditions a) the circle passes through ( 2,2) and( 5,3) , center is on the line y = x+2 Can you plea

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Question 800663: Determine the equations of the equation of the circle defined by the given conditions
a) the circle passes through ( 2,2) and( 5,3) , center is on the line y = x+2
Can you please help me thanks so much in advance:)

Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
Using the given line, the center of this circle must be on some general point (x,x+2).

One radius is and another radius is .
Simplifying somewhat, these radius expressions are and


.





, this is much of the way to the answer, but solution is not yet complete. You can finish this....?
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(Use line or general center point to find the actual center. Compute the actual radius length. Put information into standard form equation for a circle).

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