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Graphical Solution

ICSE · Class 9 · Mathematics

Complete topic list for Graphical Solution in ICSE Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

37 questions30 flashcards5 concepts

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A flowchart illustrating the step-by-step process of drawing the graph of a linear equation in two variables (ax + by + c = 0).
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4 Topics · ICSE Class 9 Mathematics

Topics in Graphical Solution

1

1. Linear Equations in Two Variables

  • A linear equation in two variables has the general form ax+by+c=0.
  • Here x and y are variables, and a, b, c are constants.
  • Its graph is a straight line.
2

2. Graph of a Linear Equation

  • To draw the graph of ax+by+c=0, first make x or y the subject.
  • Then choose at least three suitable values and find the matching values.
  • Write the ordered pairs in a table.
3

3. Reading Unknown Values from a Graph

  • A graph can be used to find missing values in a table.
  • In one example, the value of a found from the graph is 5.
  • In the same example, the value of b found from the graph is -4.
4

4. Finding Points on a Line by Graphing

  • For 2x-3y+12=0, the equation can be written as x=(3y-12)/2.
  • The graph is drawn using points (-6,0), (-3,2), and (0,4).
  • If point (m,-2) lies on the line, then m=-9.

Key Concepts

Central concept: Graphical solution of linear equations in two variables and simultaneous linear equations

Linear equation in two variablesGraphing a linear equationSlope-intercept formGraphs of special linesFinding unknown values from a graphSimultaneous linear equations graphicallyIntersection and common solutionArea formed by lines and axes

Frequently Asked Questions

What are the important topics in Graphical Solution for ICSE Class 9 Mathematics?
Graphical Solution covers several key topics that are frequently asked in ICSE 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 Graphical Solution — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 37 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 28 chapters — ICSE Class 9 Mathematics Syllabus

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