If a triangle has it's orthocenter at (1,1) and circumcentre (3/2,3/4) then centroid is:

Find the centroid of the triangle whose orthocentre is (-3,5) and circumcentre is (6,2).

Find the third vertex of a triangle, if two of its vertices are at (-3,\ 1) and (0,\ -2) and the centroid is at the origin.

Statement 1: If in a triangle, orthocentre, circumcentre and centroid are rational points, then its vertices must also be rational points. Statement : 2 If the vertices of a triangle are rational points, then the centroid, circumcentre and orthocentre are also rational points.

Statement I : If centroid and circumcentre of a triangle are known its orthocentre can be found Statement II : Centroid, orthocentre and circumcentre of a triangle are collinear.

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

A triangle having a vertex as (1,2) has mid-point of sides passig from this vertex as (-1,1) and (2,3) thent he centroid of the triangle is

A triangle are (6,0).(0, 6) and (6,6) . If distance between circumcentre and orthocenter and distance between circumcentre and centroid are lambda and u unit respectively, then (lambda, u) lies on:

If in triangle A B C ,A-=(1,10), circumcentre -=(-1/3,2/3) and orthocentre -=((11)/3,4/3) then the co-ordinates of mid-point of side opposite to A is (1,-(11)/3) (b) (1, 5 ) (c) (1,-3) (d) (1, 6)

Statement 1: The vertices of a triangle are (1,2), (2,1) and {1/2(3+sqrt(3)),1/3(3+sqrt(3))} Its distance between its orthocentre and circumcentre is zero. Statement 2 : In an equilateral triangle, orthocentre and circumcentre coincide.

Two vertives of a triangle are (4,-6,3) and (2,-2,1) and its centroid is (8/3,-1,2) . Find the third vertex.