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Linear Equations in two Variables

Uttar Pradesh Board · Class 9 · Mathematics

Quick revision notes for Linear Equations in two Variables — Uttar Pradesh Board Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

32 questions20 flashcards4 concepts

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An illustration showing a linear equation in one variable (e.g., x + 5 = 10) and its unique solution represented as a single point on a number line.
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Key Topics to Revise

1

What is a Linear Equation in Two Variables?

  • A linear equation in two variables contains two unknown quantities, usually denoted as x and y
  • The general form is ax + by + c = 0, where a, b, and c are real numbers
  • Important condition: a and b cannot both be zero simultaneously
2

Solutions of Linear Equations in Two Variables

  • A solution is an ordered pair (x, y) that satisfies the equation
  • Linear equations in two variables have infinitely many solutions
  • Each solution represents a point on the coordinate plane
3

Graph of Linear Equations in Two Variables

  • The graph of a linear equation in two variables is always a straight line
  • Every point on the line represents a solution of the equation
  • Every solution of the equation corresponds to a point on the line
4

Real-Life Applications

  • Cricket match scenario: Two batsmen scoring total runs
  • Cost problems: Buying different quantities of items within budget
  • Time and distance problems with two variables

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Full Notes

Key Concepts

An equation that can be writtenA solution is a pairUnlike oneEvery solution of a linear equation

Frequently Asked Questions

What are the important topics in Linear Equations in two Variables for Uttar Pradesh Board Class 9 Mathematics?
Linear Equations in two Variables covers several key topics that are frequently asked in Uttar Pradesh Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Linear Equations in two Variables — Uttar Pradesh Board Class 9 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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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