Question

Without plotting the points on a graph, state in which quadrant or on which axis do the following point lie.

(i) (5,$-$3) (ii) ($-$7, $-$12) (iii) ($-$23, 4) (iv) ($-$​9, 5) (v) (0, $-$3) (vi) ($-$6, 0)

Answer 1

(i) The x co-ordinate of the point (5, −3) is positive and its y co-ordinate is negative. Therefore, the point (5, −3) lie in the fourth quadrant.

(ii) The x co-ordinate of the point (−7, −12) is negative and its y co-ordinate is negative. Therefore, the point (−7, −12) lie in the third quadrant.

(iii) The x co-ordinate of the point (−23, 4) is negative and its y co-ordinate is positive. Therefore, the point (−23, 4) lie in the second quadrant.

(iv) The x co-ordinate of the point (−9, 5) is negative and its y co-ordinate is positive. Therefore, the point (−9, 5) lie in the second quadrant.

(v) The x co-ordinate of the point (0, −3) is zero. Therefore, the point (0, −3) lie on the Y-axis.

(vi) The y co-ordinate of the point (−6, 0) is zero. Therefore, the point (−6, 0) lie on the X-axis.