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Linear Equations

NIOS · Class 10 · Maths

Complete topic list for Linear Equations in NIOS Class 10 Maths. Key concepts, sub-topics, and what to focus on for board exams.

31 questions28 flashcards5 concepts

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A labeled diagram illustrating the general form of a linear equation in one variable (ax + b = 0), clearly identifying 'a' as the coefficient, 'x' as the variable, 'b' as the constant, and showing exa
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4 Topics · NIOS Class 10 Maths

Topics in Linear Equations

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1. Linear Equations in One Variable

  • An equation in one variable of degree one is called a linear equation in one variable.
  • A linear equation in one variable has the general form ax + b = 0, a ≠ 0.
  • The solution or root of a linear equation is the value of the variable that satisfies the equation.
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2. Linear Equations in Two Variables

  • A linear equation in two variables has the general form ax + by + c = 0, where at least one of a or b is non-zero.
  • Each solution of a linear equation in two variables is an ordered pair (x, y).
  • A linear equation in two variables has infinitely many solutions.
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3. Graphs of Linear Equations in Two Variables

  • The graph of a linear equation in two variables is always a straight line.
  • At least two solutions are needed to draw the graph.
  • Find solution pairs, plot them on the coordinate plane, and join them with a straight line.
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4. Systems of Linear Equations in Two Variables

  • A system of two linear equations in two variables consists of two equations solved together.
  • The solution of a system is the point where the graphs of the two equations intersect.
  • If lines intersect at one point, the system has a unique solution.

Key Concepts

Central concept: Linear Equations

Linear equation in one variableLinear equation in two variablesSolving equations in one variableGraph of linear equation in two variablesSystem of linear equations in two variablesWord problemsQuestion patterns and examples

Frequently Asked Questions

What are the important topics in Linear Equations for NIOS Class 10 Maths?
Key topics in Linear Equations include Linear Equations Concept Overview, Linear Equations Chapter Overview, Linear Equations Complete Overview. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Linear Equations — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 31 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All 26 chapters — NIOS Class 10 Maths Syllabus

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