For each of the following write true or false
(i) The point (4, 0) lies in quadrant I.
(ii) The ordinate of a point P is −3 and its abscissa is −4. The point is P(−3, −4).
(iii) The points A(1, −1) and B(−1, 1) both lies in quadrant IV.
(iv) A point lies on y-axis at a distance of 3 units from x-axis. Its coordinates are (3, 0).
(v) The point C(0, −5) lies on y-axis.
(vi) The point O(0, 0) lies on x-axis as well as y-axis.

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Solution

(i) False. It lies on the x-axis.
(ii) False. The point is P(-4,-3).
(iii) False. A(1,-1) lies in quadrant IV and B (-1,1) lies in quadrant II.
(iv) False. The coordinates of the point are (0,3).
(v) True.
(vi) True.

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(i) False. It lies on the x-axis. (ii) False. The point is P(-4,-3). (iii) False. A(1,-1) lies in quadrant IV and B (-1,1) lies in quadrant II. (iv) False. The coordinates of the point are (0,3). (v) True. (vi) True.

(i) False. It lies on the x-axis.
(ii) False. The point is P(-4,-3).
(iii) False. A(1,-1) lies in quadrant IV and B (-1,1) lies in quadrant II.
(iv) False. The coordinates of the point are (0,3).
(v) True.
(vi) True.