NCERT Class 10 Math Chapter 7 निर्देशांक ज्यामिति (Coordinate Geometry) introduces students to the basics of locating points on a plane using the Cartesian system. The chapter deals with important concepts such as finding the distance between two points, the section formula, and the coordinates of midpoints. These topics are not only useful for board exams but also form the foundation for higher mathematics, physics, and engineering studies. Students can score well in this chapter with practice, as the formulas are straightforward and the problems are application-based.
I chose to write about this chapter because coordinate geometry is a bridge between algebra and geometry, making it one of the most interesting parts of Class 10 Mathematics. Many students initially find it tricky to visualise points and lines on a graph, but once they learn how to apply the formulas, the subject becomes simple and logical. In my experience, this chapter improves both calculation speed and problem-solving skills, which helps a lot during exams. By downloading the NCERT PDF and practising all the examples and exercises, students can build strong basics and score full marks in this section. That is why having this chapter’s PDF handy is very useful.
Key Topics in Chapter 7 निर्देशांक ज्यामिति
Here are the main concepts covered in this chapter:
- Distance Formula – To find the distance between two points using their coordinates
- Section Formula – To find the coordinates of a point dividing a line segment in a given ratio
- Midpoint Formula – To determine the midpoint of a line segment
- Practical Problems – Application of formulas in solving exam-type questions
Example for Better Understanding
If you need to find the distance between points A(3, 4) and B(7, 1), you use the distance formula:
√[(x₂ – x₁)² + (y₂ – y₁)²] = √[(7 – 3)² + (1 – 4)²] = √[16 + 9] = √25 = 5.
Such direct formula-based questions make this chapter scoring for students.
Download PDF
Students can download NCERT Class 10 Math Chapter 7: निर्देशांक ज्यामिति PDF directly from here.