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Study Plan

Distance Formula — Study Plan

ICSE · Class 9 · Mathematics

A step-by-step study plan for Distance Formula, ICSE Class 9 Mathematics: what to learn first, what to practise and when to revise.

33 questions24 flashcards7 formulas & key relations5 concepts

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A 3D diagram showing three points A, B, and C that lie on the same straight line, illustrating the concept of collinearity.
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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: 1. Distance Formula and Its Meaning, 2. Solved Distance Problems, 3. Collinearity, Triangle Properties, and Special Figures.

2
Day 3

Practise

Solve the textbook exercises and extra practice questions. There are 33 questions available for this chapter.

3
Day 4

Revise & Test

Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.

4
Day 7

Spaced Revision

Come back to Distance Formula after a week. Use flashcards for quick recall and try past exam questions on this chapter.

What to Focus On

  • Distance formula: AB = sqrt((x2-x1)^2+(y2-y1)^2) = sqrt((x1-x2)^2+(y1-y2)^2)
  • It is derived using Pythagoras' Theorem
  • AC is the difference between the abscissae
  • Substitute coordinates carefully
  • Simplify each square before adding
  • The answer for (3,6) and (0,2) is 5 units
  • Distance from origin: sqrt(x^2 + y^2)
  • It is a special case of the distance formula
  • Distance from origin to (-12,5) is 13 units

Common Mistakes to Avoid

The order of subtraction in the distance formula changes the answer.

A point on the x-axis should be written as (0, x).

A point on the y-axis should be written as (y, 0).

Memory Tips

Distance formula between two points

Order of subtraction does not matter in the distance formula

Point on the x-axis

Point on the y-axis

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Frequently Asked Questions

What are the important topics in Distance Formula for ICSE Class 9 Mathematics?
Key topics in Distance Formula include Distance Formula and Its Meaning, Solved Distance Problems, Collinearity, Triangle Properties, and Special Figures, Circumcentre of a Triangle. Study these first, then practise questions on each for Class 9 exams.
How should I revise Distance Formula for Class 9 exams?
Learn the core ideas first, then work through the 33 practice questions on Distance Formula. 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.

More resources for Distance Formula

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