On which axis do the following points lie?
(i) P (5, 0) (ii) Q (0 -2)
(iii) R (- 4, 0) (iv) S (0, 5)
Answers
Given : (i) P (5, 0) (ii) Q (0 -2)
(iii) R (- 4, 0) (iv) S (0, 5)
Solution :
(a) Point P (5, 0) lies on x-axis, since ordinate is zero.
(b) Point Q (0 -2) lies on y-axis, since abscissa is zero.
(c) Point R (- 4, 0) lies on x-axis, since ordinate is zero.
(d) Point S (0, 5) lies on y-axis, since abscissa is zero.
Explanation:
★★ x- coordinate is called the abscissa.
★★ The y - coordinate is called ordinate.
★★ Every point on the x-axis has no perpendicular distance from the x-axis , so its ordinate is zero. Thus , the coordinates of every point on x - axis are of the form (x,0).
★★ Every point on the y-axis has no perpendicular distance from the y-axis , so its abscissa is zero. Thus ,the coordinates of every point on y- axis are of the form (0,y).
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