RD Sharma Solutions Class 9 Chapter 11 Exercise 11.1
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 the ordinate is 5 units. The point is in the first quadrant. So, it will look as shown in the following figure.
(ii) Here, for the given point, the abscissa is 4 units, and the ordinate is -3 units. The point is in the fourth quadrant. So, it will look as shown in the following figure.
(iii) Here, for the given point, the abscissa is -5 units, and the ordinate is -7 units. The point is in the third quadrant. So, it will look as shown in the following figure.
(iv) Here, for the given point, the abscissa is 7 units, and the ordinate is -4 units. The point is in the fourth quadrant. So, it will look as shown in the following figure.
(v) Here, for the given point, the abscissa is -3 units, and the 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 the ordinate is 0 units. The point is on the x-axis. So, it will look like as shown in the following figure.
(vii) Here, for the given point, the abscissa is -4 units, and the ordinate is 0 units. The point is on the x-axis. So, it will look like as shown in the following figure.
(viii) Here, for the given point, the abscissa is 0 units, and the ordinate is 7 units. The point is on the y-axis. So, it will look like as shown in the following figure.
(ix) Here, for the given point, the abscissa is 0 units, and the ordinate is -4 units. The point is on the y-axis. So, it will look like as shown in the following figure.
(x) Here, for the given point, the abscissa is 0 units, and the ordinate is 0 units.
The point is basically intersection of the coordinate axis. So, it will look like as shown in the following figure.
Q2) Write the coordinates of each of the following points marked on 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 the y-axis is 3 units, and that of from the x-axis is 1 unit. Since A lies in the first quadrant, its coordinates are (3,1).
2) The distance of point B from the y-axis is 6 units, and that of from the x-axis is 0 units. Since B lies on the x-axis, its coordinates are (6,0).
3) The distance of point C from the y-axis is 0 units, and that of from the x-axis is 6 units. Since C lies on the y-axis, its coordinates are (0,6).
4) The distance of point D from the y-axis is -3 units, and that of from the x-axis is 0 units. Since D lies on the x-axis, its coordinates are (-3,0).
5) The distance of point E from the y-axis is -4 units, and that of from the x-axis is 3 units. Since E lies in the second quadrant, its coordinates are (-4,3).
6) The distance of point F from the y-axis is -2 units, and that of from the x-axis is -4 units. Since F lies in the third quadrant, its coordinates are (-2,-4).
7) The distance of point G from the y-axis is 0 units, and that of from the x-axis is -5 units. Since G lies on the y-axis, its coordinates are (0,-5).
8) The distance of point H from the y-axis is 3 units, and that of from the x-axis is -6 units. Since H lies in the fourth quadrant, its coordinates are (3,-6).
9) The distance of point P from the y-axis is 7 units, and that of from the x-axis is -3 units. Since P lies in the fourth quadrant, its coordinates are (7,-3).
10) The distance of point Q from the y-axis is 7 units, and that of from the x-axis is 6 units. Since Q lies in the first quadrant, its coordinates are (7,6).
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