##### VMC VIQ Scholarship Test

ApplyRegister for Vidyamandir Intellect Quest. Get Scholarship and Cash Rewards.

Edited By Safeer PP | Updated on Jul 29, 2022 06:15 PM IST

NCERT Solutions for Class 9 Maths exercise 4.4 which is based on the geometrical depiction of equations of lines parallel to the x-axes and y-axes and covers the concept of linear equations in two variables. Linear equations in two variables are a system of equations that can have a single solution, no solutions, or an unlimited number of solutions and are of the type ax+by+c=0, where a, b, c are real numbers. To identify the set of solutions to the linear equations with two variables, we must first determine the value of variables. The graphical depiction of equations of lines parallel to x-axes and y-axes was the topic of exercise 4.4 Class 9 Maths. A line parallel to the y-axis will have the form x=k, which means that the value of x is the same for any value of y , and k is any constant value. Similarly, A line parallel to the x-axis will be of the form y=k, which means that the value of y is the same for any value of x, and k is any constant value.

**Scholarship Test:** **Vidyamandir Intellect Quest (VIQ)**** | ****ALLEN TALLENTEX**

**Don't Miss: ****JEE Main 2027: Narayana Scholarship Test Preparation Kit for Class 9**

NCERT solutions for Class 9 Maths chapter 4 exercise 4.4 include two questions, one of which is the main question with two subsections and the other is the main question with two subsections. This NCERT book Class 9 Maths chapter 4 exercise 4.4 thoroughly explains the fundamentals of linear equations in two variables. The following activities are included along with NCERT syllabus Class 9 Maths chapter 4 exercise 4.4.

- Linear Equations In Two Variables Exercise 4.1
- Linear Equations In Two Variables Exercise 4.2
- Linear Equations In Two Variables Exercise 4.3

** Q1 (i) ** Give the geometric representations of as an equation

in one variable

Equation can be represented in one variable on the number line.

** Q1 (ii) ** Give the geometric representations of as an equation: in two variables

For 2 variable representations of .

Equation :

For graph,

x=0,we have y=3

x=1,we have y=3

x=2,we have y=3

Hence, (0,3) ,(1,3) and (2,3) are solutions of equation.

** Q2 (i) ** Give the geometric representations of as an equation: in one variable

Equation can be represented in one variable on the number line.

The yellow mark represents x= - 4.5.

** Q2 (ii) ** Give the geometric representations of as an equation: in two variables

For 2 variable representations of .

Equation :

For graph,

y=0,we have

y=1,we have

y=2,we have

Hence, , and are solutions of equation.

To solve linear equations in two variables visually in Class 9 Maths chapter 4 exercise 4.4, we must first construct the graph of the equations by constructing a table for various x and y values. After that, we must use the values to plot the points on the graph for each equation. We'll be able to connect all of the locations at that moment. As a result, the graph is created. We can describe the graph of linear equations in two ways in exercise 4.4 Class 9 Maths.

• A one-variable linear equation with a solution represented by a point that can be plotted on a number line.

• The solution to a two-variable linear equation that can be plotted on the cartesian plane is represented by a line parallel to the x or y-axis.

If the constant term ‘c’ in the linear equation ax+by+c=0 is zero, the line will always pass through the origin.

**Also Read| **Linear Equations In Two Variables Class 9 Notes

• NCERT solutions for Class 9 Maths exercise 4.4 are very accurate and clear so that we may get a clear idea about the concept and topic and these solutions can be helpful for us not only for the first term examination but also in solving homework and assignments in higher education.

• By solving the NCERT solution for Class 9 Maths chapter 4 exercise 4.4, we may study for the exams based on their knowledge gaps, which will also be useful in Class 10 Maths chapter 3 exercise 3.2 pair of linear equations with two variables.

• On solving the questions of exercise 4.4 Class 9 Maths, the questions will help us to self evaluate our performance in examinations and we can also solve the questions from other textbooks prescribed by the CBSE Board.

**Also see-**

1. Line of the equation y=m is __________ (where m is constant).

The line of the equation y=m is parallel to the x-axis.

Reason :

A line that is parallel to the x-axis will be in the form y=k where k is a constant.

2. Quadrant I is _______.

Quadrant I is positive

Reason: In quadrant I, the x-coordinates are positive also the y-coordinates are positive.

3. Number of solutions of the equation x-8=0 are _______.

Since the given equation is a linear equation in one variable x-8=0 has only one solution.

4. (0, 8) lies on _____ axis.

(0, 8) lies on the y- axis. Since the x coordinate is 0, the point lies in the y axis.

5. Equation of horizontal line above the x axis at 5 units from x axis is ________.

The horizontal line above the x-axis is parallel to the x-axis and it is above the x-axis at 5 units, so the equation of the line will be y=5

6. Equation of vertical line to the right of the y axis at 8 units from y axis is ________.

The vertical line to the right of the y axis is parallel to the x-axis at 8 units from the y-axis, so the equation is x=8

7. What is the equation of the x-axis , as per NCERT solutions for Class 9 Maths chapter 4 exercise 4.4 ?

The equation of the x-axis is y=0, as per NCERT solutions for Class 9 Maths chapter 4 exercise 4.4

8. As per NCERT solutions for Class 9 Maths chapter 4 exercise 4.4, What is the equation of line parallel to the y-axis?

The equation of a line parallel to the y-axis is x=k, where k is any constant real number, as per NCERT solutions for Class 9 Maths chapter 4 exercise 4.4.

Sep 17, 2024

Application Date:09 September,2024 - 14 November,2024

Application Date:09 September,2024 - 14 November,2024

Admit Card Date:13 September,2024 - 07 October,2024

Admit Card Date:13 September,2024 - 07 October,2024

Get answers from students and experts

Register for Vidyamandir Intellect Quest. Get Scholarship and Cash Rewards.

Register for Tallentex '25 - One of The Biggest Talent Encouragement Exam

As per latest 2024 syllabus. Physics formulas, equations, & laws of class 11 & 12th chapters

As per latest 2024 syllabus. Chemistry formulas, equations, & laws of class 11 & 12th chapters

Accepted by more than 11,000 universities in over 150 countries worldwide

Register now for PTE & Unlock 20% OFF : Use promo code: 'C360SPL20'. Limited Period Offer! Trusted by 3,500+ universities globally

News and Notifications

Back to top