find the equation of circle which passes through the point(4,1)and(6,5)and whose center lies on the line 4x+y=16

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- October 31st 2007, 08:15 AMpramod khanalmath question
find the equation of circle which passes through the point(4,1)and(6,5)and whose center lies on the line 4x+y=16

- October 31st 2007, 08:32 AMKrizalid
Principal equation of circle states that

where & are its center and radius respectively.

Since points & satisfy the equation, plug'em into the aforesaid equation.

Besides, its center lies on the line so

You need to solve a system of equations. - October 31st 2007, 10:41 AMearboth