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). ∴ 2x+42+1=2⇒x=1 and 2y−12+1=1⇒y=2 Circumcentre ≡(1,2)