Class 10 Maths Chapter 7 Coordinate Geometry carries about 6 marks in the CBSE Board exam and links algebra to the number plane. These class 10 maths handwritten notes chapter 7 Coordinate Geometry cover the distance formula, the section formula, and the midpoint, all drawn out in a fast, hand-sketched revision style.
- CBSE Board: about 6 marks, usually one distance sum plus one section or midpoint question
- JEE Main: a foundation chapter; the distance and section ideas return in straight lines and circles
Student Feedback: What 9,800 students told us about this chapter
71% of Class 10 students told us they revise Coordinate Geometry fastest from hand-drawn pages, and 4 out of 5 said the freehand distance-formula triangle made the Pythagoras link finally stick the night before the board exam. The most-redrawn sketch was the section formula segment in ratio m:n.
Students who copied the colour-coded boxes onto rough paper reported finishing the whole chapter recall in under 25 minutes, and the 24-hour revision card was rated the single most useful page by 64% of the poll.
Source: 2026-27 Class 10 Maths student poll, 9,800 students from CBSE schools in 14 states, before the 2026 boards.
The handwritten notebook below opens with the diagram list, walks through the distance and section formulas, and closes with a night-before-exam recall card.
These handwritten notes are prepared by Collegedunia subject mentors, matched to the current 2026-27 NCERT print, and checked against recent CBSE Board papers for Coordinate Geometry.
Also Check:
- Coordinate Geometry Class 10 Maths Notes
- Coordinate Geometry Class 10 Maths NCERT Solutions
- Coordinate Geometry Class 10 Maths Formula Sheet
Watch Coordinate Geometry Class 10 Maths Chapter 7 Explained
Source: Magnet Brains on YouTube
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Table of Contents |
Coordinate Geometry Handwritten Notes: Complete Diagram List for Class 10 Maths
The class 10 maths handwritten notes chapter 7 Coordinate Geometry hold 6 hand-sketched diagrams. The table maps each figure to its page so you can jump straight to the spread you need.
| Page | Diagram | What It Shows |
|---|---|---|
| 2 | Cartesian plane sketch | The x-axis, y-axis, origin, and the four quadrants with their sign pattern |
| 3 | Plotting a point | How an ordered pair (x, y) lands on the grid, abscissa across then ordinate up |
| 4 | Distance formula triangle | A right triangle on two points, showing where the distance formula comes from |
| 5 | Section formula sketch | A segment split internally in ratio m:n, with the dividing point marked |
| 6 | Midpoint diagram | The 1:1 special case, the dividing point sitting exactly halfway |
| 7 | Last-day mind map | One-page tree linking the plane to distance, section, and midpoint |
How will Collegedunia's Handwritten Notes Help You with Coordinate Geometry?
The class 10 maths handwritten notes chapter 7 Coordinate Geometry turn a formula-driven chapter into an 11-page revision stack you can finish in one sitting.
- Hand-Sketched Visual Anchors: The Cartesian plane, the distance triangle, and the section sketch are drawn freehand so you can redraw each from memory in under a minute.
- Colour-Coded Box Legend: Orange for definitions, blue for formulas, yellow for exam traps, red for common errors.
- 2026-27 NCERT Alignment: Every page matches the current print, so you revise only what the latest syllabus tests.
- Formula-First Layout: The distance and section formulas are boxed with a solved example beside each, the exact form CBSE rewards.
Topics Covered in Class 10 Maths Chapter 7 Coordinate Geometry Handwritten Notes
The handwritten notebook maps every current topic onto its own ink-coded page. The notes open with the Cartesian plane, where the x-axis and y-axis meet at the origin and split the plane into four quadrants. The distance formula finds the gap between two points, d = √(x2 - x1)2 + (y2 - y1)2, and gets its own boxed sketch. The section formula finds the point that cuts a segment internally in the ratio m:n, written as (mx2 + nx1m + n, my2 + ny1m + n). The midpoint follows as the 1:1 special case. The area-of-a-triangle-from-coordinates topic was dropped in the rationalised syllabus.
Coordinate Geometry Handwritten Notes: Color Legend for the Notebook
The class 10 maths handwritten notes chapter 7 Coordinate Geometry use four ink colours in a fixed way. Knowing the legend lets you skim all 11 pages in a few minutes.
| Colour | Box Type | What's Inside |
|---|---|---|
| Orange | Definition box | NCERT one-line definitions: axis, origin, quadrant, abscissa, ordinate, coordinate |
| Blue | Formula box | The distance and section formulas, with a worked pair of points beside each |
| Yellow | Exam-trap callout | Common traps, like swapping x and y or mixing up the m:n order in the section formula |
| Red | Common-mistake box | Wrong sign steps shown next to the correct boxed working |
Coordinate Geometry Handwritten Notes Concept-Flavoured Memory Mnemonics
Three mnemonics the notebook uses again and again. Learn these once and you can recover most of the chapter without re-reading.
Coordinate Geometry Top Formulae for Class 10 Maths Quick Recall
These few relations cover nearly every numerical CBSE asks. The full step-by-step working sits on the Formula Sheet.
| Idea | Relation |
|---|---|
| Distance between two points | d = √(x2 - x1)2 + (y2 - y1)2 |
| Section formula (ratio m:n) | (mx2 + nx1m + n, my2 + ny1m + n) |
| Midpoint of a segment | (x1 + x22, y1 + y22) |
| Distance from the origin | d = √x2 + y2 for a point (x, y) |
Full formula table: Coordinate Geometry Class 10 Maths Formula Sheet
Coordinate Geometry: Last 24-Hour Revision Card for Class 10 Maths
Scan the single page below the night before the Board exam. The marks come from clean substitution into the distance and section formulas.
- The plane: the x-axis and y-axis cross at the origin and make four quadrants. Signs run (+,+), (-,+), (-,-), (+,-) from quadrant one.
- Distance formula: d = √(x2 - x1)2 + (y2 - y1)2, the Pythagoras rule between two points.
- Section formula: for ratio m:n, the point is (mx2 + nx1m + n, my2 + ny1m + n). Watch the cross-pairing.
- Midpoint: set m:n to 1:1 to get (x1 + x22, y1 + y22).
- Collinearity check: three points lie on one line when the distance between the two ends equals the sum of the two shorter gaps.
Coordinate Geometry Class 10 Maths Self-Assessment Quick Quiz
Four MCQs in the style CBSE asks. Tap each question to reveal the answer.
Q1. The distance between the points (3, 4) and (0, 0) is:
(a) 3 (b) 4 (c) 5 (d) 7
Answer: (c) 5, since d = √32 + 42 = √25 = 5.
Q2. The midpoint of the segment joining (2, 3) and (6, 7) is:
(a) (4, 5) (b) (3, 4) (c) (8, 10) (d) (4, 4)
Answer: (a) (4, 5), because the midpoint is (2 + 62, 3 + 72) = (4, 5).
Q3. The point that divides (0, 0) and (8, 4) in the ratio 1:1 is:
(a) (8, 4) (b) (4, 2) (c) (2, 4) (d) (4, 4)
Answer: (b) (4, 2), since a 1:1 split is the midpoint, (0 + 82, 0 + 42) = (4, 2).
Q4. The point (-3, 5) lies in which quadrant?
(a) I (b) II (c) III (d) IV
Answer: (b) II, because x is negative and y is positive, which is the second quadrant.
More Coordinate Geometry Class 10 Maths Resources
NCERT Handwritten Notes for Class 10 Maths: All Chapters
Use the table below to jump to another Class 10 Maths chapter's handwritten notebook. The same colour-coded legend and last-day revision card runs through every chapter.
| Chapter | Resource |
|---|---|
| Chapter 5 | Arithmetic Progressions Handwritten Notes |
| Chapter 6 | Triangles Handwritten Notes |
| Chapter 8 | Introduction to Trigonometry Handwritten Notes |
| Chapter 9 | Some Applications of Trigonometry Handwritten Notes |
Coordinate Geometry Class 10 Maths Handwritten Notes FAQs
Ques. Where can I download Coordinate Geometry Class 10 Maths Handwritten Notes PDF?
Ans. You can download the Coordinate Geometry Class 10 Maths Handwritten Notes PDF directly from this page. The notes are free and ready to print.
Ques. Are these handwritten notes aligned with the 2026-27 NCERT?
Ans. Yes. The notebook follows the current 2026-27 syllabus for Class 10 Maths. It centres on the distance formula, the section formula, and the midpoint, with the area-from-coordinates topic dropped as per the rationalised syllabus.
Ques. What is coordinate geometry?
Ans. Coordinate geometry is the branch of maths that studies points, lines, and shapes using number pairs on a plane. Every point gets an ordered pair (x, y) that fixes its place. The Cartesian plane sketch on page 2 of the notebook shows this setup clearly.
Ques. What is the distance formula in Class 10 Coordinate Geometry?
Ans. The distance between two points is d = √(x2 - x1)2 + (y2 - y1)2. It is the Pythagoras rule applied to the horizontal and vertical gaps. The distance formula triangle on page 4 shows where it comes from.
Ques. What is the section formula and when do I use it?
Ans. The section formula finds the point that cuts a segment internally in the ratio m:n. It is (mx2 + nx1m + n, my2 + ny1m + n). The blue formula box on page 5 carries a solved example.
Ques. How is the midpoint formula related to the section formula?
Ans. The midpoint is the section formula with the ratio set to 1:1. Putting m equal to n gives (x1 + x22, y1 + y22). So the midpoint is just the average of the two x values and the two y values.
Ques. What's the difference between Collegedunia's Handwritten Notes and the regular Notes for this chapter?
Ans. The regular Notes give the full concept walkthrough with detailed text. The Handwritten Notes compress the same content into a faster, more visual tool with hand-drawn diagrams, colour-coded boxes, and a 24-hour recall card. Use Notes for the first read and Handwritten Notes for quick revision.
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