Find the circumcentre of the triangle formed by the points , and
Step 1. Find the equation of the perpendicular bisector of the line
Given three points is , and
Mid point of
Slope of
Therefore, slope of the perpendicular bisector
Therefore equation of the perpendicular bisector of with slope and passing coordinate
Step 2. Find the equation of the perpendicular bisector of the line
Mid point of
Slope of
Therefore, slope of the perpendicular bisector
Therefore equation of the perpendicular bisector of the line with respect to slope and passing through the coordinate
Step 3. Find the circumcenter
Now multiplying equation with and adding it with equation we get
We get
Putting the value of in equation we get
Hence, the circumcenter of triangle is .