Find the length of the perpendicular from the point P (2, -3) to the line joining the points A (4, 2) and B (0, -1).

in what ratio does the point P(2,5) divide the line joining the points A(-8,9) and B(-6,9).

Find the equation of the perpendicular bisector of the line segment joining the points (7, 4) and (-1, -2).

Find the ratio in which the point P (3/4,5/12) divides the line segment joining the points A (1/2,3/2) and B(2,-5).

Find the direction ratios of the line joining the points P (1, 3, -2) and Q ( -2 , 4, 0).

Find the coordinates of the point R(x, y) which divides the line segment joining the points (i) P(-4, 7) and Q (5, -9) in the ratio 3 : 2 internally.

Find the equation of the plane passing through the point P(-1,2,3) and perpendicular to the, line joining the points A(1,1,2) and B(4,5,-5).

Find the equation of the straight line passing through the point (2, 3) and parallel to the straight line joining the points P(3, -4) and Q(-5, 6).