NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.4
NCERT Solutions for Class
9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.4 are the part of
NCERT Solutions for Class 9 Maths. Here you can find the NCERT Solutions for
Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.4.
- NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.1
- NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.2
- NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.3
- NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.4
Ex 4.4 Class
9 Maths Question
1.
Give the geometric representations of y = 3 as an
equation
(i) in one variable
(ii) in two variables
Solution:
(i) y = 3
∵ y = 3 is an equation in one variable, i.e., y only.
∴ y = 3 is a unique solution on the number line as shown below:
(ii)
y = 3
We can write y = 3 in two variables as 0.x + y = 3
Now, when x = 1, we have y = 3.
When x = 2, we have y = 3
When x = -1, we have y = 3
∴ We get the following table:
|
x |
1 |
2 |
-1 |
|
y |
3 |
3 |
3 |
Plotting the ordered pairs (1, 3), (2, 3) and (-1,
3) on a graph paper and joining them, we get a line AB as solution of 0.x + y =
3, i.e., y = 3.
Ex 4.4 Class 9 Maths Question
2.
Give the geometric representations of 2x + 9 = 0 as
an equation
(i) in one variable
(ii) in two variables
Solution:
(i) 2x + 9 = 0
We have, 2x + 9 = 0
⇒ 2x = – 9
⇒ x = −9/2
This is a linear equation in one variable, i.e., x only.
Therefore,
x = −9/2 is a unique solution of 2x + 9 = 0.
The
geometrical representation of 2x + 9 = 0 is shown below:
We can write 2x + 9 = 0 in two variables as 2x + 0.y + 9 = 0
or x = −9/2 − 0.y/2
∴ When y = 1, x = −9/2
When
y = 2, x = −9/2
When
y = 3, x = −9/2
Thus, we have the following table:
|
x |
-9/2 |
-9/2 |
-9/2 |
|
y |
1 |
2 |
3 |
Now, plotting the ordered pairs (−9/2, 1), (−9/2, 2) and (−9/2, 3) on a graph paper and joining them, we get a
line PQ as solution of 2x + 9 = 0.
NCERT Solutions for Maths Class 10