Find the equation of a circle passing through the points (2,-6) (6,4) (-3,1)

Please find below the link of similar query as asked by you :

https://www.meritnation.com/ask-answer/question/find-the-equation-of-the-circle-passing-through-the-points/straight-lines/6814467

Do let us know in case of any further concerns .

  • -4
you can do this in two ways first method is general one let the equation be x2+y2+ax+by+c=0 and then substituting those points then you get 3 equations and 3 unknowns then you will get required equation
METHOD-2
By using family of circles
first take any 2 points in given three and find eqn of line joining them and next take those 2 points as ends of diameter and construct a circle then family of circles passing through those 2 points is eqn of circle you got =some k times the eqn of line you got and next substitute the third point in that eqn then you get value of k
and finally you end up getting x2+y2+22x-10y-144=0
  • -4
What are you looking for?