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By Karan Singh Bisht
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Updated on 8 Jul 2026, 16:50 IST
Maths Formulas for Class 9 Chapter 1 Orienting Yourself: The Use of Coordinates help students revise the key concepts of coordinate geometry in a simple and structured way. This chapter from Ganita Manjari Class 9 Maths Part I introduces students to the Cartesian coordinate system, x-axis, y-axis, origin, quadrants, plotting of points, and distance between two points.
Infinity Learn provides these formulas in a clear, student-friendly format to support homework, classroom learning, quick revision, and exam preparation. The formula sheet is prepared and reviewed by Infinity Learn expert teachers to ensure accuracy, clarity, and alignment with the latest Class 9 Maths syllabus. Students can use this chapter-wise formula sheet while solving textbook exercises, practicing graph-based questions, revising before school tests, and preparing for exams. Each formula is explained with its meaning, example, and application so that students understand not only what the formula is, but also where and how to use it.
Students can download the Maths Formulas for Class 9 Chapter 1 Orienting Yourself: The Use of Coordinates PDF from Infinity Learn for quick and easy revision. The PDF is prepared and reviewed by Infinity Learn expert teachers to ensure that all formulas are accurate, syllabus-aligned, and easy to understand.
This formula PDF includes:
Must Read: NCERT Solutions for Class 9 Maths Chapter 1 Orienting Yourself: The Use of Coordinates
A point in the coordinate plane is written as:
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P = (x, y)
Here, x is the x-coordinate and y is the y-coordinate.
Example: If P = (4, 3), then the point is located 4 units along the x-axis and 3 units along the y-axis.
The origin is the point where the x-axis and y-axis intersect.
O = (0, 0)
This is the starting point for locating all other points on the coordinate plane.
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If a point lies on the x-axis, its y-coordinate is always 0.
P = (x, 0)
Example: A = (5, 0) lies on the x-axis.
If a point lies on the y-axis, its x-coordinate is always 0.
P = (0, y)
Example: B = (0, −4) lies on the y-axis.
For two points A(x₁, y₁) and B(x₂, y₂), the distance between them is:
AB = √[(x₂ − x₁)² + (y₂ − y₁)²]
This formula is used when two points are not on the same horizontal or vertical line.
If two points have the same y-coordinate, the distance between them is:
Distance = |x₂ − x₁|
If two points have the same x-coordinate, the distance between them is:
Distance = |y₂ − y₁|
For two points A(x₁, y₁) and B(x₂, y₂), the midpoint is:
M = ((x₁ + x₂)/2, (y₁ + y₂)/2)
The x-axis and y-axis divide the coordinate plane into four regions called quadrants. Each quadrant has a different sign pattern for the x-coordinate and y-coordinate.
| Quadrant | Sign of x | Sign of y | Example |
| Quadrant I | Positive | Positive | (3, 4) |
| Quadrant II | Negative | Positive | (−3, 4) |
| Quadrant III | Negative | Negative | (−3, −4) |
| Quadrant IV | Positive | Negative | (3, −4) |
Quick Tip
Reflection means forming the mirror image of a point across an axis. These rules help students quickly find reflected points.
| Reflection | Rule |
| Reflection in x-axis | (x, y) → (x, −y) |
| Reflection in y-axis | (x, y) → (−x, y) |
| Reflection in origin | (x, y) → (−x, −y) |
The Infinity Learn Class 9 Maths Formula PDF is a useful revision resource for students who want to revise important Maths formulas quickly and accurately. It brings chapter-wise formulas together in a simple, structured, and student-friendly format, making it easier to prepare for school tests, homework, assignments, and exams.
Prepared and reviewed by Infinity Learn expert teachers, the formula PDF follows the latest Class 9 Maths syllabus and includes important formulas with short meanings, examples, diagrams, tables, and revision tips. This helps students understand not only the formula but also how and where to apply it while solving questions.
The PDF is especially helpful for quick revision before exams. Students can use it to avoid formula confusion, strengthen concepts, practice chapter-wise problems, and improve accuracy in Maths. Since the formulas are organized clearly, students can save time during revision and focus better on problem-solving.
Using the Infinity Learn Class 9 Maths Formula PDF regularly can help students build confidence, revise smarter, and develop a stronger foundation in Mathematics.
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The important formulas include coordinates of a point, coordinates of the origin, point on the x-axis, point on the y-axis, distance formula, horizontal distance, vertical distance, midpoint formula, and reflection rules.
The distance between two points A(x₁, y₁) and B(x₂, y₂) is: AB = √[(x₂ − x₁)² + (y₂ − y₁)²]
The coordinates of the origin are (0, 0).
There are four quadrants in the coordinate plane.
Students can download the Class 9 Maths Chapter 1 formulas PDF from Infinity Learn. It is prepared by expert teachers and includes formulas, examples, diagrams, and revision tips.