Find the distance of (-1,2,5) from the plane passing through the point (3,4,5) whose direction ratios are `<2,-3,6>`.

Find the equation of the plane passing through the point (2,3,1) having (5,3,2) as the direction ratio is of the normal to the plane.

Find the equation of the plane passing through the points (1,1,0),(1,3,0),(2,5,1)

Find the direction cosines of the line passing through the points (-2,4,-5), and (1,2,3).

Find the equation of the plane passing through the points (0,-1,1),(4,5,1) and (3,9,4)

Find the equation of the plane passing through the points (1,2,-1),(2,4,-3),(4,-2,1)

Find the direction cosines of the line passing through the points P(2,3,5), and Q(-1,2,4).

Find the distance of the point (1,2,3) from the line joining the points (-1,2,5) and (2,3,4).

Find the equation of the plane passing through the points (0,-1,-1), (4,5, 1) and (3,9,4).

If a line passing through two points (-2,4,-5) and (1,2,3) then its direction cosines will be :

Find the equation of the plane passing through the point (3,-3, 1) and perpendicular to the line joining the points (3, 4, - 1) and (2, - 1,5). Also find the coordinates of the foot of the perpendicular, the equation of the perpendicular line and the length of perpendicular drawn from the origin to the plane.