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Revision Notes

Linear Equations — Revision Notes

NIOS · Class 10 · Maths

Linear Equations revision notes for NIOS Class 10 Maths: 4 topics in quick points. Part of the NIOS Class 10 Maths syllabus.

31 questions28 flashcards11 formulas & key relations5 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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Key Topics to Revise

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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.

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Full Notes

Key Concepts

A linear equation in one variableA linear equation in two variablesThe solution of a linear equationThe same operation must be performedWhen a term is moved from

Frequently Asked Questions

What are the important topics in Linear Equations for NIOS Class 10 Maths?
Key topics in Linear Equations include Linear Equations in One Variable, Linear Equations in Two Variables, Graphs of Linear Equations in Two Variables, Systems of Linear Equations in Two Variables. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How should I revise Linear Equations for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 31 practice questions on Linear Equations. Revise 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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