NCERT Solutions Class 9 Maths Chapter 3 teaches you how to locate points on the Cartesian plane and understand coordinate geometry fundamentals. You’ll learn how to plot points using x and y coordinates, identify quadrants, find coordinates of points in different positions, and understand how the coordinate system works in real-world applications like maps and graphs. These skills are essential for algebra, graphing functions, and analytical geometry in higher classes.
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All exercises with step-by-step solutions | Updated 2025-26 | Free Download
Download PDF (Free)NCERT Solutions Class 9 Maths Chapter 3 Coordinate Geometry – Complete Guide
NCERT Class 9 Chapter 3 – Coordinate Geometry introduces you to one of the most fascinating branches of mathematics that bridges algebra and geometry. You’ll discover how the French mathematician René Descartes revolutionized mathematics by creating a system to represent geometric figures using algebraic equations. This chapter lays the foundation for advanced topics you’ll encounter in Class 10 and beyond.
📊 CBSE Class 9 Maths Chapter 3 – Exam Weightage & Marking Scheme
| CBSE Board Marks | 4 Marks |
| Unit Name | Coordinate Geometry |
| Difficulty Level | Medium |
| Importance | Medium |
| Exam Types | CBSE Board, State Boards |
| Typical Questions | 1-2 questions |
You will learn about the Cartesian plane, understanding how the x-axis and y-axis divide the plane into four quadrants. You’ll practice plotting points using ordered pairs (x, y) and identify the signs of coordinates in different quadrants. The chapter covers essential concepts like the origin, abscissa, ordinate, and how to write coordinates of points accurately. These skills are crucial for solving real-world problems involving maps, navigation, and computer graphics.
For CBSE board exams, this chapter typically carries 4 marks and includes questions ranging from plotting points and identifying quadrants to application-based problems. You can expect 2-3 mark questions asking you to plot points, find coordinates, or determine the quadrant of given points. The difficulty level is medium, making it a scoring chapter if you practice regularly with graph paper and understand the sign conventions thoroughly.
Quick Facts – Class 9 Chapter 3
| 📖 Chapter Number | Chapter 3 |
| 📚 Chapter Name | Coordinate Geometry |
| ✏️ Total Exercises | 4 Exercises |
| ❓ Total Questions | 25 Questions |
| 📅 Updated For | CBSE Session 2025-26 |
Mastering coordinate geometry in Class 9 will give you a strong advantage when you study distance formula, section formula, and area of triangles in Class 10. The visual nature of this chapter makes it easier to understand compared to purely algebraic topics, so invest time in practicing plotting exercises and understanding the coordinate system’s logical structure for excellent results.
NCERT Solutions Class 9 Maths Chapter 3 – All Exercises PDF Download
Download exercise-wise NCERT Solutions PDFs for offline study
| Exercise No. | Topics Covered | Download PDF |
|---|---|---|
| EXERCISE 3.1 | Complete step-by-step solutions for 2 questions | 📥 Download PDF |
| EXERCISE 3.2 | Complete step-by-step solutions for 2 questions | 📥 Download PDF |
| EXERCISE 3.3 | Complete step-by-step solutions for 5 questions | 📥 Download PDF |
| EXERCISE 3.4 | Complete step-by-step solutions for 16 questions | 📥 Download PDF |
Coordinate Geometry – Key Formulas & Concepts
Quick reference for CBSE exams
| Formula | Description | When to Use |
|---|---|---|
| Abscissa \(\text{Abscissa} = x\text{-coordinate}\) | The x-coordinate of a point in the Cartesian plane. Note: The abscissa is positive to the right of the y-axis and negative to the left. | When identifying or describing the horizontal distance of a point from the y-axis. |
| Ordinate \(\text{Ordinate} = y\text{-coordinate}\) | The y-coordinate of a point in the Cartesian plane. Note: The ordinate is positive above the x-axis and negative below. | When identifying or describing the vertical distance of a point from the x-axis. |
| Coordinates of a Point \((x, y)\) | Represents a point in the Cartesian plane, where x is the abscissa and y is the ordinate. Note: Order matters! (x, y) is different from (y, x) unless x = y. | When plotting points, identifying their location, or solving problems involving geometric figures on the coordinate plane. |
| Coordinates of Origin \((0, 0)\) | The point where the x-axis and y-axis intersect. Note: Both the abscissa and ordinate are zero at the origin. | As a reference point for measuring distances and plotting other points. |
| Points on the x-axis \((x, 0)\) | Any point lying on the x-axis has a y-coordinate of 0. Note: The x-coordinate can be any real number. | When identifying points on the x-axis or solving equations where a point lies on the x-axis. |
| Points on the y-axis \((0, y)\) | Any point lying on the y-axis has an x-coordinate of 0. Note: The y-coordinate can be any real number. | When identifying points on the y-axis or solving equations where a point lies on the y-axis. |
| Quadrant I \((+, +)\) | Signs of coordinates in the first quadrant (x is positive, y is positive) Note: Top right quadrant. | When determining the quadrant in which a point lies, given its coordinates. |
| Quadrant II \((- , +)\) | Signs of coordinates in the second quadrant (x is negative, y is positive) Note: Top left quadrant. | When determining the quadrant in which a point lies, given its coordinates. |
| Quadrant III \((- , -)\) | Signs of coordinates in the third quadrant (x is negative, y is negative) Note: Bottom left quadrant. | When determining the quadrant in which a point lies, given its coordinates. |
| Quadrant IV \((+, -)\) | Signs of coordinates in the fourth quadrant (x is positive, y is negative) Note: Bottom right quadrant. | When determining the quadrant in which a point lies, given its coordinates. |
| Distance from x-axis \(|\text{y-coordinate}|\) | The perpendicular distance of a point from the x-axis is the absolute value of its y-coordinate. Note: Distance is always non-negative. | Finding distance problems |
| Distance from y-axis \(|\text{x-coordinate}|\) | The perpendicular distance of a point from the y-axis is the absolute value of its x-coordinate. Note: Distance is always non-negative. | Finding distance problems |
Frequently Asked Questions – NCERT Class 9 Maths Chapter 3
📚 Related Study Materials – Class 9 Maths Resources
| Resource | Access |
|---|---|
| NCERT Class 9 Mathematics Textbook | Download Book |
| NCERT Class 9 Science Solutions | View Solutions |
| RD Sharma Class 9 (Updated 2025-26) | View Solutions |
| NCERT Class 9 English (Beehive) | Download Book |