Write whether the following statements are true or false?
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 – ½ and abscissa is 1 are (-½ ,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, so it lies in II quadrant.
(iii) False, because stating the coordinates of a point abscissa comes first and then ordinate (1,-½).
(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 ordinate is positive.