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 points which divide the line segment joining A(-4, 0) and B(0, 6) into four equal parts.

Find the coordinates of the points which divides the line segment joining A(-2, 2) and B(2, 8) into four equal parts.

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:

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