Centroid OF triangle & question based on centroid || Important points OF straight line

Centroid of a Triangle

Important Questions|Straight Line|OMR

Statement-1: If the circumcentre of a triangle lies at origin and centroid is the middle point of the line joining the points (2,3) and (4,7), then its orthocentre satisfies the relation 5x-3y=0 Statement-2: The circumcentre, centroid and the orthocentre of a triangle is on the same line and centroid divides the lines segment joining circumcentre in the ratio 1:2

If the circumcentre of a triangle lies at the point (a, a) and the centroid is the mid - point of the line joining the points (2a+3, a+4) and (a-4, 2a-3) , then the orthocentre of the triangle lies on the line

Let ABC be a triangle having its centroid its centroid at G. If S is any point in the plane of the triangle, then vec(SA) + vec(SB)+vec(SC)=

Questions Based on Centroid OF Tetrahedron || Equation OF Angle Bisector|| Image OF Point in Plane and Examples

If the circumcenter of an acute-angled triangle lies at the origin and the centroid is the middle point of the line joining the points (a^(2)+1,a^(2)+1) and (2a,-2a), then find the orthocentre.

Section formula || Internal and external division || Important point OF internal and external division || Coordinates OF centroid OF triangle || In equilateral triangle

Revision OF important point (trigonometry formula) || Important things in triangle || Circumcenter || Orthocenter || centroid || Locus || Important question based on H,G,O, || Radius OF circumcircle ||Distance between orthocenter and circumcenter in right angle triangle

Prove that the centroid of any triangle is the same as the centroid of the triangle formed by joining the middle points of its sides