Find the locus of a point at which the angle subtended by the line segment joining `(1, 2) and (-1, 3)` is a right angle.

Find the coordinates of the points which trisect the line segment joining (0, -3, 2) and (1, 3, 3).

Find the coordinates of the points which trisect the line segment joining (2, 1, 0) and (5, 8, -3).

Find the locus of a point such that the line segments having end points (2,0) and (-2,0) subtend a right angle at that point.

Find the equation of the plane that bisects the line segment joining points (1, 2, 3) and (3, 4, 5) and is at right angle to it.

Find the equation of the plane which bisects the line segment joining the points (-1, 2, 3) and (3, -5, 6) at right angles.

Find the coordinates of the point which divides the line segment joining A(-2, 2) and B(2, 8) in the ratio 3 : 1.

Find the angle between x+y=3 and the line joining points (1,1) and (-3,4)

Find the equation of locus of P ,if the line segment joining (2,3) and (-1,5) subtends a right angle at P.

The point at which the line segment joining A(1, 1) and B (5, 5) subtends an obtuse angle is