Q7 of 53 Page 122

Find the coordinates of the circumcentre of a triangle whose vertices are (-3,1),(0,-2) and (1,3)

The circumcentre is equidistant from all the points of the triangle.


Let the coordinates of circumcentre be (x,y)


= ...i


And


...ii


Squaring and simplifying i , we get


2x-2y = -6


Squaring and simplifying ii , we get


2x + 10y = 6


Solving the above equations, we get


x =


y =


hence the coordinates of circumcircle is ()


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