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Q1) Plot the following points on the graph paper:
(i) (2,5)
(ii) (4,3)
(iii) (5,7)
(iv) (7,4)
(v) (3,2)
(vi) (7,0)
(vii) (4,0)
(viii) (0,7)
(ix) (0,4)
(x) (0,0)
Solution:
The given points are,
A (2,5), B (4,3), C (5,7), D (7,4), E (3,2),
F (7,0), G (4,0), H (0,7), I (0,4), J (0,0)
Let X ‘OX and Y ‘ OY be the coordinate axes.
(i) Here for the given point the abscissa is 2 units and ordinate is 5 units. The point is in the first quadrant. So it will look like as shown in the following figure.
(ii) Here for the given point the abscissa is 4 units and ordinate is 3 units. The point is in the fourth quadrant. So it will look like as shown in the following figure.
(iii) Here for the given point the abscissa is 5 units and ordinate is 7 units. The point is in the third quadrant. So it will look like as shown in the following figure.
(iv) Here for the given point the abscissa is 7 units and ordinate is 4 units. The point is in the fourth quadrant. So it will look like as shown in the following figure.
(v) Here for the given point the abscissa is 3 units and ordinate is 2 units. The point is in the second quadrant. So it will look like as shown in the following figure.
(vi) Here for the given point the abscissa is 7 units and ordinate is 0 units. The point is on the xaxis. So it will look like as shown in the following figure.
(vii) Here for the given point the abscissa is 4 units and ordinate is 0 units. The point is on the xaxis. So it will look like as shown in the following figure.
(viii) Here for the given point the abscissa is 0 units and ordinate is 7 units. The point is on the yaxis. So it will look like as shown in the following figure.
(ix) Here for the given point the abscissa is 0 units and ordinate is 4 units. The point is on the yaxis. So it will look like as shown in the following figure.
(x) Here for the given point the abscissa is 0 units and ordinate is 0 units.
The point is basically intersection of the coordinate axis. So it will look like as shown in the following figure.
Q.2) Write the coordinates of each of the following points marked in the graph paper.
Solution:
A (3,1), B (6,0), C (0,6), D (3,0), E (4,3), F (2,4), G (0,5), H (3,6), P (7,3), Q (7,6)
1) The distance of point A from yaxis is 3 units and that of from xaxis is 1 units. Since A lies in the first quadrant, so its coordinates are (3,1).
2) The distance of point B from yaxis is 6 units and that of from xaxis is 0 units. Since B lies on xaxis, so its coordinates are (6,0).
3) The distance of point C from yaxis is 0 units and that of from xaxis is 6 units. Since C lies on yaxis, so its coordinates are (0,6).
4) The distance of point D from yaxis is 3 units and that of from xaxis is 0 units. Since D lies on xaxis, so its coordinates are (3,0).
5) The distance of point E from yaxis is 4 units and that of from xaxis is 3 units. Since E lies in the second quadrant, so its coordinates are (4,3).
6) The distance of point F from yaxis is 2 units and that of from xaxis is 4 units. Since F lies in the third quadrant, so its coordinates are (2,4).
7) The distance of point G from yaxis is 0 units and that of from xaxis is 5 units. Since G lies on yaxis, so its coordinates are (0,5).
8) The distance of point H from yaxis is 3 units and that of from xaxis is 6 units. Since H lies in the fourth quadrant, so its coordinates are (3,6).
9) The distance of point P from yaxis is 7 units and that of from xaxis is 3 units. Since P lies in the fourth quadrant, so its coordinates are (7,3).
10) The distance of point Q from yaxis is 7 units and that of from xaxis is 6 units. Since Q lies in the first quadrant, so its coordinates are (7,6).
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