`A(1,3), B(4,-1), C(-8,4)` are the vertices of a triangle `ABC`. If `D, E, F` divides `BC, CA,AB` in the same ratio `2:1` then centroid of triangle `DEF` is

A = (2, 2), B = (6, 3), C(4, 1) are the vertices of a triangle. If D, E are the midpoints of BC, CA then DE =

A (3, 2, -1), B (4, 1, 1), C(6, 2, 5) are three points. If D, E, F are three points which divide BC, CA, AB respectively in the same ratio 2 : 1 then the centroid of Delta DEF is

The vertices of a triangle an A(1,2), B(-1,3) and C(3, 4). Let D, E, F divide BC, CA, AB respectively in the same ratio. Statement I : The centroid of triangle DEF is (1, 3). Statement II : The triangle ABC and DEF have the same centroid.

The vertices of a triangle an A(1,2), B(-1,3) and C(3, 4). Let D, E, F divide BC, CA, AB respectively in the same ratio. Statement I : The centroid of triangle DEF is (1, 3). Statement II : The triangle ABC and DEF have the same centroid.

The vertices of a triangle an A(1,2), B(-1,3) and C(3, 4). Let D, E, F divide BC, CA, AB respectively in the same ratio. Statement I : The centroid of triangle DEF is (1, 3). Statement II : The triangle ABC and DEF have the same centroid.

A (-4, 2), B(0, 2) and C(-2,-4) are vertices of a triangle ABC. P, Q and R are mid-points of sides BC, CA and AB respectively. Show that the centroid of Delta PQR is the same as the centroid of Delta ABC.

Let A(x_(1),y_(1),z_(1)),B(x_(2),y_(2),z_(2))&C(x_(3),y_(3),z_(3)) be the vertices of triangle ABC Let D,E and F be the midpoints of BC,AC&AB respectively Show that centroids of ABC&Delta DEF coincides.

ABC is a triangle with vertices A(-1,4), B(6,-2), and C(-2, 4). D, E and F are the points which divide each AB, BC, and CA respectively in the ratio 3:1 internally. Then the centroid of the triangle DEF is