Class 10 Exam > Class 10 Notes > Mathematics (Maths) Class 10 > Index: Pair of Linear Equations in Two Variables
Index: Pair of Linear Equations in Two Variables | Mathematics (Maths) Class 10 PDF Download
Have you ever wondered how two different equations can help solve real-life problems, like finding the cost of items or determining the speed of a boat? This is the essence of solving a pair of linear equations in two variables!
In this EduRev index document, you will find everything you need to master the chapter Pair of Linear Equations in Two Variables. It includes comprehensive explanations to understand the chapter thoroughly, along with ample practice material to prepare you for your examinations.
In this chapter, EduRev provides you with:
Chapter Notes & Overviews
- Chapter Notes: Pair of Linear Equations in Two Variables
- Short Notes: Pair of Linear Equations in Two Variables
- Facts that Matter: Pair of Linear Equations in Two Variables
- Points to Remember: Pair of Linear Equations in Two Variables
- Important Definitions & Formulas: Pair of Linear Equations in Two Variables
NCERT Resources
- NCERT Textbook: Pair of Linear Equations in Two Variables
- NCERT Solutions: Pair of Linear Equations in Two Variables (Exercise 3.1, 3.2 & 3.3)
- NCERT Exemplar: Pair of Linear Equations in Two Variables - 1
- NCERT Exemplar: Pair of Linear Equations in Two Variables - 2
Solutions from Other Sources
- RD Sharma Solutions: Pair of Linear Equations in Two Variables - 1
- RD Sharma Solutions: Pair of Linear Equations in Two Variables - 2
- RD Sharma Solutions: Pair of Linear Equations in Two Variables - 3
- RS Aggarwal Solutions: Linear Equations in Two Variables (Exercise 3A)
- RS Aggarwal Solutions: Linear Equations in Two Variables (Exercise 3B)
Questions & Practice Materials
- Very Short Answer Questions: Pair of Linear Equations in Two Variables
- Short Answer Questions: Pair of Linear Equations in Two Variables
- Long Answer Questions: Pair of Linear Equations in Two Variables
- Practice Questions: Pair of Linear Equations in Two Variables
- HOTS Questions: Pair of Linear Equations in Two Variables
- Value Based Questions: Pair of Linear Equations in Two Variables
- Case Based Questions: Pair of Linear Equations in Two Variables
- CBSE Previous Year Questions: Pair of Linear Equations in Two Variables
- Important Questions: Pair of Linear Equations in Two Variables
- Important Questions: Pair of Linear Equations in Two Variables (Test)
Tests & Assessments
- Practice Test: Pair of Linear Equations in Two Variables
- Unit Test: Pair of Linear Equations in Two Variables
- Unit Test (Solutions): Pair of Linear Equations in Two Variables
- RD Sharma Test: Pair of Linear Equations in Two Variables
- Test: Graphical Solution To Linear Equations
Worksheets & Assignments
- Worksheet: Pair of Linear Equations in Two Variables
- Worksheet Solutions: Pair of Linear Equations in Two Variables
- Assignment: Pair of Linear Equations in Two Variables
Graphical & Algebraic Methods
- Pair of Linear Equations in Two Variables: Graphical Method
- Graphical Methods of Solving a Pair of Linear Equations
- Algebraic Methods of Solving Pair of Linear Equations in Two Variables
Study Aids & Visual Resources
- Mindmap: Linear Equations in Two Variables
- Flashcards: Forms of Linear Equation
- Flashcards: Turn Statements Into Linear Equations
- Infographics: Forms of Linear Equations
- Infographics: Solving Linear Equation
- PPT: Pair of Linear Equations in Two Variables
Study Plans
Additional Resources
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FAQs on Index: Pair of Linear Equations in Two Variables - Mathematics (Maths) Class 10
| 1. What are the methods to solve a pair of linear equations in two variables? |  |
Ans. The three main methods to solve a pair of linear equations in two variables are:
1. Graphical Method: Plotting both equations on a graph to find the point of intersection.
2. Substitution Method: Solving one equation for one variable and substituting that expression into the other equation.
3. Elimination Method: Adding or subtracting the two equations to eliminate one variable, making it easier to solve for the other.
| 2. What is the general form of a linear equation in two variables? | |
Ans. The general form of a linear equation in two variables is expressed as Ax + By + C = 0, where A, B, and C are constants, and A and B are not both zero. Here, x and y are the variables.
| 3. How can we determine if a pair of linear equations is consistent or inconsistent? | |
Ans. A pair of linear equations is considered consistent if they have at least one solution, which occurs when the lines intersect at a point or are the same line (infinitely many solutions). Conversely, they are inconsistent if they represent parallel lines and do not intersect, indicating that there is no solution.
| 4. What does it mean if two linear equations are dependent? | |
Ans. Two linear equations are said to be dependent if they represent the same line, meaning they have infinitely many solutions. In this case, one equation can be expressed as a multiple of the other, indicating that they are not distinct but essentially the same.
| 5. How do you graphically represent a pair of linear equations? | |
Ans. To graphically represent a pair of linear equations, you first convert each equation into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. Then, plot the y-intercept on the graph and use the slope to find another point. Repeat this for the second equation, and where the two lines intersect represents the solution to the equations.
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