Q16 of 53 Page 122

Find the coordinates of circumcentre and radius of circumcircle of triangle ABC ifA(7, 1), B(3, 5) and C(2, 0) are given.

Let the circumcentre be (x,y)


As the circumcentre is equidistant from all the 3 points, we get


= .......i


And


....................ii


Squaring both sides of i and simplifying, we get


-2x-10y = -30


Squaring both sides of ii and simplifying, we get


10x + 2y = 46


Solving the above equations, we get


x =


y =


Radius of circumcircle is the distance between any point on the triangle and the circumcentre.


Radius = =


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