Find the equation of the line joining the points `(1, 2)` and `(-3, 1).` Find its inter-cepts on the axes. If `p` be the length of the perpendicular from the origin to the line find the value of `p.`

Find the equation of the line joining the points (1,2) and (-3,1). Find its inter-cepts on the axes.If p be the length of the perpendicular from the origin to the lind the value of p.

Consider the line joining the points (2, - 1) and (6, – 3). i. Find its slope. ii. Find the equation of the perpendicular bisector.

Find the length of the perpendicular drawn from the origin upon the line joining the points (a, b) and (b, a)?

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.

Find the equation to the perpendicular bisector of the line -segment joining the two points (2,3) and (4,-1). What is the length of the perpendicular drawn from the origin to that perpendicular bisector ?

Find the length of the perpendicular fdrawn from the origin upon the line joining the points (a, b) and (b, a)?

A line perpendicular to the line segment joining the points (1, 0) and (2, 3) divides it in the ratio 1 : n . Find the equation of the line.

A line perpendicular to the line segment joining the points (1,0) and (2,3) divides it in the ratio 1 : n . Find the equation of the line.