If coordinates of orthocentre and centroid of a triangle are (4, -l) and (2, I ), respectively, then coordinates of a point which is equidistant from the vertices of the triangle is

The point which is at equal distances from all three vertices in a triangle is circum center

 Centroid divides line joining orthocentre and circumcentre in the ratio 2: I.

 Let circumcentre be (x, y). 

$\begin{array}{r}\therefore \frac{2x+4}{2+1}=2\Rightarrow x=1\\ \text{ and }\frac{2y-1}{2+1}=1\Rightarrow y=2\\ \text{ Circumcentre }\equiv (1,2)\end{array}$