Write whether the following statements are true or false? Justify your answer.
(i) Point (3,0) lies in the first quadrant.
(ii) Points (1, - 1) and (-1, 1) lie in the same quadrant.
(iii) The coordinates of a point whose ordinate is −12 and abscissa is 1 are (−12,1).
(iv) A point lies on Y-axis at a distance of 2 units from the X-axis, its coordinates are (2,0).
(v) (-1,7) is a point in the second quadrant.
(i) False, since the ordinate of the point (3, 0) is zero. So, the point lies on X-axis.
(ii) False, because in point (1, - 1) x-coordinate is positive and y-coordinate is negative. So, it lies in IV quadrant and in (-1,1) x-coordinate is negative and y-coordinate is positive. It lies in II quadrant.
(iii) False. because, in the coordinates of a point, abscissa comes first and then ordinate (1,−12)
(iv) False, because point (2,0) lies on x-axis whose distance from y-axis is 2 units.
(v) True, because in a point ( -1, 7) abscissa is negative and the ordinate is positive.