(i) To construct the first point, let the radius vector revolve from OX through an angle of 30°, and then mark off along it a distance equal to two units of length. We thus obtain the point P1.
(ii) For the second point, the radius vector revolves from OX through 150° and is then in the position OP2 ; measuring a distance 3 along it we arrive at P2.
(iii) For the third point, let the radius vector revolve from OX through 45° into the position OL. We have now to measure along OL a distance - 2, i.e. we have to measure a distance 2 not along OL but in the opposite direction. Producing LO to P3, so that OP3 is 2 units of length, we have the required point P3.
(iv) To get the fourth point, we let the radius vector rotate from OX through 330° into the position OM and measure on it a distance -3, i.e., 3 in the direction MO produced. We thus have the point P2, which is the same as the point given by (ii).
(v) If the radius vector rotate through - 210°, it will be in the position OP2, and the point required is P2.
(vi) For the sixth point, the radius vector, after rotating through - 30°, is in the position OM. We then measure - 3 along it, i.e., 3 in the direction MO produced, and once more arrive at the point P2.
