How to find the standard form of the equation of the specified circle given that it Passes through points A(-1,3) y B (7,-1) and it center is on line 2x+y-11=0?
Let the coordinate of the center of the circle be
So the equation of the circle is
By the given condition its center lies on the straight line
Subtracting (2) from (1) we get
putting the value of b in (2)
Radius of the circle
So equation of the circle