Write the co ordinates of the circumcentre of a triangle whose centroid and orthocenter are at `(3,3)` and `(-3,5)` respectively

Explanation

Solution
Let the coordinates of the circumcentre of the triangle be `C(x, y)`.

Let the points `O(-3,5) and G(3,3) `represent the coordinates of the orthocentre and centroid, respectively.

We know that the centroid of a triangle divides the line joining the orthocentre and circumcentre in the ratio `2:1`.


`3=frac{-3 times 1+2 x}{3} text { and } 3=frac{5 times 1+2 y}{3} `

`Rightarrow x=6, y=2`


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