Find the equation of the set of all points `P(x,y)` such that the line `OP` is coincident with the line joining `P` and the point `(3, 2).`

Find the equation of the lines through the point (3, 2) which make an angle of 45 with the line x-2y=3 .

Find the equation of the lines through the point (3, 2) which make an angle of 45^@ with the line x-2y=3 .

Find the reflection of the point P(-1,3) in the line x = 2

Find the equation of the line passing through the point (-4, -5) and perpendicular to the line joining the points (1, 2) and (5, 6).

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

Find the equation to the line through the point (-4, -3) and perpendicular to the line joining the points (1, 3) and 2,7) .

Find the equation of the line joining the point (3,5) to the point of intersection of the lines 4x+y-1=0\ a n d\ 7x-3y-35=0

Find the equation to the straight line passing through the point (2, 1) and parallel to the line joining to point (2, 3) and (3, -1)

Find the equation of a line passing through the point (-1,-2) and parallel to the line joining the points (2,-3) and (3,-2)

Find the distance of the point P(–1, –5, –10) from the point of intersection of the line joining the points A(2, –1, 2) and B(5, 3, 4) with the plane x – y + z = 5.