RD Sharma Solutions Class 9 CooRDinate Geometry Exercise 11.1

RD Sharma Solutions Class 9 Chapter 11 Exercise 11.1

RD Sharma Class 9 Solutions Chapter 11 Ex 11.1 Free Download

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.

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(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.

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(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.

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(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.

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(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.

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(vi) Here for the given point the abscissa is 7 units and ordinate is 0 units. The point is on the x-axis. So it will look like as shown in the following figure.

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(vii) Here for the given point the abscissa is -4 units and ordinate is 0 units. The point is on the x-axis. So it will look like as shown in the following figure.

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(viii) Here for the given point the abscissa is 0 units and ordinate is 7 units. The point is on the y-axis. So it will look like as shown in the following figure.

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(ix) Here for the given point the abscissa is 0 units and ordinate is -4 units. The point is on the y-axis. So it will look like as shown in the following figure.

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(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.

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Q2) Write the coordinates of each of the following points marked in the graph paper.

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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 y-axis is 3 units and that of from x-axis is 1 units. Since A lies in the first quadrant, so its coordinates are (3,1).

2) The distance of point B from y-axis is 6 units and that of from x-axis is 0 units. Since B lies on x-axis, so its coordinates are (6,0).

3) The distance of point C from y-axis is 0 units and that of from x-axis is 6 units. Since C lies on y-axis, so its coordinates are (0,6).

4) The distance of point D from y-axis is -3 units and that of from x-axis is 0 units. Since D lies on x-axis, so its coordinates are (-3,0).

5) The distance of point E from y-axis is -4 units and that of from x-axis is 3 units. Since E lies in the second quadrant, so its coordinates are (-4,3).

6) The distance of point F from y-axis is -2 units and that of from x-axis is -4 units. Since F lies in the third quadrant, so its coordinates are (-2,-4).

7) The distance of point G from y-axis is 0 units and that of from x-axis is -5 units. Since G lies on y-axis, so its coordinates are (0,-5).

8) The distance of point H from y-axis is 3 units and that of from x-axis is -6 units. Since H lies in the fourth quadrant, so its coordinates are (3,-6).

9) The distance of point P from y-axis is 7 units and that of from x-axis is -3 units. Since P lies in the fourth quadrant, so its coordinates are (7,-3).

10) The distance of point Q from y-axis is 7 units and that of from x-axis is 6 units. Since Q lies in the first quadrant, so its coordinates are (7,6).


Practise This Question

In the below figure,

___ angles are present and they are ___