Linear Equations in Two Variables - Exercise 7.4 | Extra Documents & Tests for Class 9 PDF Download

 Page 1


                      
 
        
 
       
 
       
Question:32
Give the geometric representations of the following equations
a
on the number line
b
on the Cartesian plane:
i
x = 2
ii
y + 3 = 0
iii
y = 3
iv
2x + 9 = 0
v
3x - 5 = 0
Solution:
i We are given,
x = 2
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
Page 2


                      
 
        
 
       
 
       
Question:32
Give the geometric representations of the following equations
a
on the number line
b
on the Cartesian plane:
i
x = 2
ii
y + 3 = 0
iii
y = 3
iv
2x + 9 = 0
v
3x - 5 = 0
Solution:
i We are given,
x = 2
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
The representation of the solution on the Cartesian plane, it is a line parallel to y axis passing through the point 2, 0
is shown below
i i We are given,
We get,
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
The representation of the solution on the Cartesian plane, it is a line parallel to x axis passing through the point A
0, – 3
is shown below
Page 3


                      
 
        
 
       
 
       
Question:32
Give the geometric representations of the following equations
a
on the number line
b
on the Cartesian plane:
i
x = 2
ii
y + 3 = 0
iii
y = 3
iv
2x + 9 = 0
v
3x - 5 = 0
Solution:
i We are given,
x = 2
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
The representation of the solution on the Cartesian plane, it is a line parallel to y axis passing through the point 2, 0
is shown below
i i We are given,
We get,
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
The representation of the solution on the Cartesian plane, it is a line parallel to x axis passing through the point A
0, – 3
is shown below
i i i We are given,
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
The representation of the solution on the Cartesian plane, it is a line parallel to x axis passing through the point 0, 3
is shown below
i v We are given,
We get,
Page 4


                      
 
        
 
       
 
       
Question:32
Give the geometric representations of the following equations
a
on the number line
b
on the Cartesian plane:
i
x = 2
ii
y + 3 = 0
iii
y = 3
iv
2x + 9 = 0
v
3x - 5 = 0
Solution:
i We are given,
x = 2
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
The representation of the solution on the Cartesian plane, it is a line parallel to y axis passing through the point 2, 0
is shown below
i i We are given,
We get,
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
The representation of the solution on the Cartesian plane, it is a line parallel to x axis passing through the point A
0, – 3
is shown below
i i i We are given,
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
The representation of the solution on the Cartesian plane, it is a line parallel to x axis passing through the point 0, 3
is shown below
i v We are given,
We get,
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
The representation of the solution on the Cartesian plane,it is a line parallel to y axis passing through the point 
 is shown below
v We are given,
We get,
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
The representation of the solution on the Cartesian plane, it is a line parallel to y axis passing through the point 
 is shown below
Page 5


                      
 
        
 
       
 
       
Question:32
Give the geometric representations of the following equations
a
on the number line
b
on the Cartesian plane:
i
x = 2
ii
y + 3 = 0
iii
y = 3
iv
2x + 9 = 0
v
3x - 5 = 0
Solution:
i We are given,
x = 2
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
The representation of the solution on the Cartesian plane, it is a line parallel to y axis passing through the point 2, 0
is shown below
i i We are given,
We get,
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
The representation of the solution on the Cartesian plane, it is a line parallel to x axis passing through the point A
0, – 3
is shown below
i i i We are given,
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
The representation of the solution on the Cartesian plane, it is a line parallel to x axis passing through the point 0, 3
is shown below
i v We are given,
We get,
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
The representation of the solution on the Cartesian plane,it is a line parallel to y axis passing through the point 
 is shown below
v We are given,
We get,
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
The representation of the solution on the Cartesian plane, it is a line parallel to y axis passing through the point 
 is shown below
Question:33
Give the geometrical representation of 2x + 13 = 0 as an equation in
i
on variable
ii
two variable
Solution:
We are given,
We get,
The representation of the solution on the number line, when given equation is treated as an equation in one
variable.
The representation of the solution on the Cartesian plane, it is a line parallel to y axis passing through the point 
 is shown below