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 line joining the points (-1,3) and (4,-2)

Find the equation of the line parallel to 3x+4y+5=0 and passing through the mid point of the line joining (6,-7) and (2,-3)

Find the equation of the plane passing through the point A (1,2,1) and perpendicular to the line joining the points P(1,4,2) and Q(2,3,5) . Also, Find also the perpendicular distance of the plane from te line : (x + 3)/(2) = (y - 5)/(-1) = (z - 7)/(-1) .

Find the equation of the line passing through the point P(4, -5) and parallel to the line joining the points A(3, 7) and B(-2, 4).

Find the equation of the line whose y-intercept is -3 and which is perpendicular to the line joining the points (-2,3) and (4,-5).

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

Find the value of y if the line joining the points (3, y) and (2, 7) in parallel to the line joining the points (-1, 4) , (0, 6) .

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