SOLUTION: Find the equation of the circle tangent to x+y=3 at (1,2) and through (3,6).

Question 1128675: Find the equation of the circle tangent to x+y=3 at (1,2) and through (3,6).
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the equation of the circle tangent to x+y=3 at P(1,2) and through Q(3,6).
-----------
The center of the circle is on the line perpendicular to x+y=3 and thru the point P.
The center of the circle is on the perpendicular bisector of PQ, so the intersection of those 2 lines is the center.
The radius is the distance from the center to P or Q.

RELATED QUESTIONS
Find the equation of the circle satisfying the given conditions (general equation) 1.... (answered by Alan3354)

Find the equation of the circle passing through (2,2) and tangent to the line y=1 and y=... (answered by htmentor)

Find the equation, in standard form, of the circle being described in each item. 1.... (answered by ikleyn)

SOLVE USING GEOMETRIC CONSTRUCTION. FIND THE EQUATION OF THE CIRCLE TANGET TO 3X+4Y-15=0 (answered by Alan3354)

Find the equation of a circle is tangent to the line -x+y+4=0 at the point (3, -1), and... (answered by MathLover1)

find equation of the circle passing through A(1,4) , B(-1,8) and tangent to the line x +... (answered by Edwin McCravy,ikleyn)

Find the equation of the line tangent to the given circle and passing through the given... (answered by solver91311)

Find the equation of the line tangent to the given circle and passing through the given... (answered by Alan3354)

Given the circle x^2+y^2=25 and the point A(3.-4) on the circle. Find the equation of the (answered by Alan3354)