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.MathematicsMathematics (Algebra)Standard IX

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