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Formula Sheet

Distance Formula — Formula Sheet

ICSE · Class 9 · Mathematics

7 formulas from Distance Formula (ICSE Class 9 Mathematics) on one page, grouped by topic. Includes Distance formula.

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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7 Entries · 5 Sections

Formulas and Key Relations

Core idea

AB = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

Points on axes

Point on x-axis = (x, 0)

Point on y-axis = (0, y)

Typical problem types

2PA = PB

PA = PB = PC = Circumradius

Collinearity, Triangle Properties, and Special Figures

For points A(1,-1), B(6,4), and C(4,2), BC + AC = AB, so the points are collinear.

Distance formula

AB = sqrt((x2-x1)^2+(y2-y1)^2) = sqrt((x1-x2)^2+(y1-y2)^2)

Full sheet with units and worked examples

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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 many formulas are in Distance Formula?
This sheet lists 7 formulas from Distance Formula, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
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

All ICSE Class 9 Mathematics Formula Sheet

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