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 locus of the point P such that the line segment AB, joining the points A(1, -6) and B(4, -2), subtends a right angle at P.

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).

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

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).

What is the equation of the line joining the points '(1,3),(2,7) ?' Prove that if '(x, y)' is a point on this line, so is the point '(x+1, y+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 a line passing through the point (-1,-2) and parallel to the line joining the points (2,-3) and (3,-2)

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)