This Coordinates revision page collects every rule you need from Chapter 1 of the new Ganita Manjari book. The Class 9 Maths Formula Sheet Chapter 1 Coordinates gives you the coordinate rules, the distance idea, and the midpoint and reflection formulas on one clean sheet for fast revision.
- Formulas inside: about 11 rules, from naming a point to the distance and midpoint formulas.
- What they cover: quadrant signs, distance between points, reflections, and the circle test.
- Why one page helps: you see all of Chapter 1 at a glance, so last-minute revision is quick.
This sheet is prepared by subject teachers, matched to the current 2026-27 NCERT, and checked line by line so a Class 9 student can trust every formula.
What Does the Class 9 Maths Coordinates Formula Sheet Cover?
The Class 9 Maths Formula Sheet Chapter 1 Coordinates covers the full toolkit of the chapter. You get how to write a point as (x, y), the sign rule for the four quadrants, and the special forms points take on the axes. It then lists the distance formula, the distance from the origin, the midpoint formula, the three reflection rules, and the test that tells you if a point lies on a circle. Nothing extra is added, so the sheet stays honest to the book.
Video Walkthrough
Source: PW Class 9 - NEEV on YouTube
Coordinates Class 9 Maths All Formulas at a Glance
The table below is the full list for Chapter 1. Every formula cell is written in clean math so you can copy it straight into your practice.
| Concept | Formula | What it means |
|---|---|---|
| Coordinates of a point | P = (x, y) | x is measured from the y-axis, y from the x-axis. |
| Point on the axes | (x, 0) or (0, y) | On the x-axis the y-value is 0; on the y-axis the x-value is 0. |
| Origin | O = (0, 0) | The point where the two axes cross. |
| Quadrant signs | I (+,+), II (-,+), III (-,-), IV (+,-) | The signs of x and y fix the quadrant. |
| Distance along an axis | d = |x2 - x1| or |y2 - y1| | Used when the two points share one coordinate. |
| Distance formula | d = √(x2 - x1)2 + (y2 - y1)2 | Distance between any two points on the plane. |
| Distance from origin | OP = √x2 + y2 | Special case for a point P = (x, y) from O. |
| Midpoint of a segment | M = (x1 + x22, y1 + y22) | Average the x-values and the y-values. |
| Reflection in the axes | (x,-y) in x-axis; (-x,y) in y-axis | Flip the sign of one coordinate. |
| Reflection in the origin | (x, y) → (-x, -y) | Flip the sign of both coordinates. |
| Point and a circle at O | on if x2 + y2 = r2; inside if <; outside if > | Compare the point's squared distance with r2. |
When to Use Which Formula in Coordinates
Pick the right rule by looking at what the question gives you. This short list makes the choice quick.
- If two points share an x or y value, use the axis rule |x2 - x1| or |y2 - y1|.
- If the two points are anywhere on the plane, use the distance formula.
- If one point is the origin, use √x2 + y2.
- If you need the exact middle of a segment, use the midpoint formula.
- If a figure is flipped across an axis, use the matching reflection rule.
- If you must check whether a point sits on a circle at O, compare x2 + y2 with r2.
Quick Facts for Coordinates
The cards below pull out the numbers and rules most likely to trip you up. Keep the Class 9 Maths Formula Sheet Chapter 1 Coordinates open beside them while you revise, and the facts will stick faster.
How will Collegedunia's Formula Sheet Help You with Coordinates?
Collegedunia builds the Class 9 Maths Formula Sheet Chapter 1 Coordinates as one printable page you can revise from in minutes.
- 2026-27 Ganita Manjari match: Every rule follows the new book, not the old chapter order.
- Plain meaning added: Each formula has a short line telling you what it does.
- Teacher checked: Subject experts verify each distance, midpoint, and reflection rule.
- Free PDF: Download the sheet and keep it handy for your Class 9 annual exam.
More Coordinates Maths Class 9 Resources
Use the links below to open the other Collegedunia resources for this chapter.
NCERT Formula Sheet for Class 9 Maths: All Chapters
Use the table below to open the Formula Sheet for any other chapter of the new Class 9 Maths book.
| Chapter | Resource |
|---|---|
| Chapter 1 | Coordinates Formula Sheet |
| Chapter 2 | Linear Polynomials Formula Sheet |
| Chapter 3 | The World of Numbers Formula Sheet |
| Chapter 4 | Algebraic Identities Formula Sheet |
| Chapter 5 | Circles Formula Sheet |
| Chapter 6 | Perimeter and Area Formula Sheet |
| Chapter 7 | Introduction to Probability Formula Sheet |
| Chapter 8 | Sequences and Progressions Formula Sheet |
Coordinates Class 9 Maths Formula Sheet FAQs
Ques. Where can I download the Coordinates Class 9 Maths Formula Sheet PDF?
Ans. You can download the Coordinates Class 9 Maths Formula Sheet PDF directly from this page. Both the Normal and HD versions are free.
Ques. How many formulas are in the Class 9 Maths Chapter 1 Coordinates Formula Sheet?
Ans. The sheet lists about 11 rules, covering coordinates, quadrant signs, distance, midpoint, reflections, and the circle test.
Ques. Is this chapter part of the new 2026-27 Ganita Manjari book?
Ans. Yes. Coordinates is Chapter 1 of the new Ganita Manjari book for the 2026-27 syllabus. In the older book, this topic came later as Coordinate Geometry.
Ques. How many pages is the Coordinates Formula Sheet PDF?
Ans. The Formula Sheet PDF runs about 2 pages, with a full formula table and a quick-reference section for last-day revision.
Ques. What is the main formula on this sheet?
Ans. The key formula is the distance formula, √(x2 - x1)2 + (y2 - y1)2, which comes from the Baudhayana-Pythagoras rule.
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