Find the coordinates of centroid of the triangle with vertices following:

(6, 2), (0, 0) and (4, -7)

Find the coordinates of the point which divides the line segment joining the points (a+b, a-b) and (a-b, a+b) in the ratio 3 : 2 internally.

Find the coordinates of centroid of the triangle with vertices following:

(-1, 3), (6, -3) and (-3, 6)

Find the coordinates of centroid of the triangle with vertices following:

(1, -1), (0, 6) and (-3, 0)

Find the area of the triangle whose vertices are

(2, 3) (-1, 0), (2, -4)