Find the coordinates of given points.
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If 3a + 2b + 6c = 0 the family of straight lines ax+by = c = 0 passes through a fixed point . Find the coordinates of fixed point .

ABCD is a parallelogram. If the points A , B and C are respectively : (1,2), (5,4),(3,8) Find the coordinates of the point D.

ABCD is a parallelogram. If the points A , B and C are respectively : (0,0), (2,2),(1,3) Find the coordinates of the point D.

ABCD is a parallelogram. If the points A , B and C are respectively : (2,3), (1,4),(1,-2) Find the coordinates of the point D.

ABCD is a parallelogram. If the points A , B and C are respectively : (-2,-1), (3,0),(0,-2) Find the coordinates of the point D.

Find the coordinates of the points of trisection (i.e., points dividing in three equal parts) of the line segment joining the points A(2,- 2) and B(-7, 4).

A point R with x-coordinate 4 lies on the line segment joining the points P(2, -3, 4) and Q (8, 0, 10). Find the coordinates of the point R. [Hint Suppose R divides PQ in the ratio k :1. The coordinates of the point R are given by ((8k+2)/(k+1), (-3)/(k+1), (10k+4)/(k+1)) .

Find the coordinates of the points which trisect the line segment joining the points P (4, 2,-6) and Q (10,-16, 6).

Find the coordinates of the points which trisect the line segment joining the points P(4,2,-6) and Q(10,-16,6).

Find the new coordinates of the points in each of the following cases if the origin is shiftedto point (-3, -2) by a translation of axes. (i) (1, 1) (ii) (0, 1)