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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?


Solution

(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.

Mathematics
Mathematics (Algebra)
Standard IX

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