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Coordinate Geometry RD Sharma Solutions | Mathematics (Maths) Class 9 PDF Download

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 Page 1


Q u e s t i o n : 1
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
S o l u t i o n :
The following points are given below. 
i
ii
iii
iv
v
vi
Page 2


Q u e s t i o n : 1
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
S o l u t i o n :
The following points are given below. 
i
ii
iii
iv
v
vi
vii
viii
ix
x
Let and 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.
Page 3


Q u e s t i o n : 1
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
S o l u t i o n :
The following points are given below. 
i
ii
iii
iv
v
vi
vii
viii
ix
x
Let and 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.
Page 4


Q u e s t i o n : 1
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
S o l u t i o n :
The following points are given below. 
i
ii
iii
iv
v
vi
vii
viii
ix
x
Let and 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 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 ordinate is 0 units.
The point is on the x-axis. So it will look like as shown in the following figure. 
Page 5


Q u e s t i o n : 1
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
S o l u t i o n :
The following points are given below. 
i
ii
iii
iv
v
vi
vii
viii
ix
x
Let and 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 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 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 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 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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FAQs on Coordinate Geometry RD Sharma Solutions - Mathematics (Maths) Class 9

1. What are the different types of coordinate systems used in coordinate geometry?
Ans. In coordinate geometry, there are primarily two types of coordinate systems used: the Cartesian coordinate system and the polar coordinate system. The Cartesian coordinate system uses a pair of perpendicular lines known as axes, with a point of origin called the origin. The polar coordinate system uses a point as the origin and measures the distance from the origin along with the angle formed between the line joining the origin and the point and a reference line.
2. How do we find the distance between two points in coordinate geometry?
Ans. To find the distance between two points in coordinate geometry, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and states that the distance between two points (x1, y1) and (x2, y2) is given by the formula: Distance = √((x2 - x1)^2 + (y2 - y1)^2)
3. What is the equation of a straight line in coordinate geometry?
Ans. In coordinate geometry, the equation of a straight line is given by the slope-intercept form, which is y = mx + c. Here, m represents the slope of the line, and c represents the y-intercept, which is the point where the line intersects the y-axis.
4. How do we determine the slope of a line in coordinate geometry?
Ans. The slope of a line in coordinate geometry can be determined by using the slope formula. The slope formula states that the slope (m) of a line passing through two points (x1, y1) and (x2, y2) is given by the formula: m = (y2 - y1) / (x2 - x1)
5. Can we find the equation of a circle using coordinate geometry?
Ans. Yes, we can find the equation of a circle using coordinate geometry. The equation of a circle with center (h, k) and radius r is given by the formula: (x - h)^2 + (y - k)^2 = r^2 where (x, y) represents any point on the circle.
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