Question

In which quadrant or on which axis will (x, y) lie? If:
(i) x > 0 and y < 0
(ii) x < 0 and y > 0
(iii) x > 0 and y > 0
(iv) x < 0 and y < 0
(v) x = 0 and y > 0
(vi) x < 0 and y = 0?

Answer 1

(i) Here, x > 0 and y < 0.
That is, x-coordinate is positive and y-coordinate is negative.
Therefore, the point lies in quadrant IV.

(ii) Here, x < 0 and y > 0.
That is, x-coordinate is negative and y-coordinate is positive.
Therefore, the point lies in quadrant II.

(iii) Here, x > 0 and y > 0.
That is, x-coordinate is positive and y-coordinate is positive.
Therefore, the point lies in quadrant I.

(iv) Here, x < 0 and y < 0.
That is, x-coordinate is negative and y-coordinate is negative.
Therefore, the point lies in quadrant III.

(v) Here, x = 0 and y > 0.
That is, x-coordinate is zero and y-coordinate is a non-zero real number.
Therefore, the point lies on the Y-axis.

(vi) Here, x < 0 and y = 0.
That is, x-coordinate is a non-zero real number and y-coordinate is zero.
Therefore, the point lies on the X-axis.