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Class 10 Maths Chapter 6 Coordinate Geometry NCERT Solutions

NCERT Solutions for Class 10 Math Chapter 6 Coordinate Geometry explains how to use coordinate geometry formulas to find distance, midpoint, and position of points on a coordinate plane.
authorImageAnanya Gupta14 May, 2026
NCERT Solutions for Class 10 Maths Chapter 6

 

NCERT Solutions for Class 10 Maths Chapter 6, Coordinate Geometry, help you understand how geometry and algebra work together to solve problems on a coordinate plane, as per the CBSE Class 10 Maths syllabus. This chapter focuses on using formulas to find distances and divide line segments accurately.

The solutions are explained in a clear and practical way, making it easier to apply formulas and solve coordinate-based questions step by step.

Chapter 6 Coordinate Geometry Overview and Key Concepts 

Class 10 Maths Chapter 6 Coordinate Geometry focuses on applying algebraic methods to solve geometrical problems using the coordinate plane. The chapter begins with revisiting the Cartesian coordinate system, including plotting points and understanding their positions through coordinates.

It then introduces the distance formula, which is used to calculate the distance between two points on the plane. The section formula is another key concept, used to find the coordinates of a point that divides a line segment internally in a given ratio. You will also study the midpoint formula, which helps in determining the exact midpoint of a line segment.

These topics are essential for solving problems related to geometry using numerical methods. The chapter helps develop accuracy in calculations, strengthens analytical thinking, and builds a foundation for higher-level coordinate geometry concepts in future classes.

Chapter 6 Coordinate Geometry Exercise Solutions

Practising all questions is important to gain confidence in applying formulas correctly. These solutions help you through each step in a simple and organised way.

How to Prepare Chapter 6 Coordinate Geometry Using NCERT Solutions?

A clear understanding of formulas and their application is key to Chapter 6:

  • Go through the basics: Study concepts from the CBSE Class 10 Maths syllabus, especially coordinates and plotting points.

  • Learn the formulas: Focus on the distance formula, section formula, and midpoint formula.

  • Check calculations: Be careful with signs and values while solving.

  • Use MCQs for revision: Attempt MCQs for Class 10 Maths Chapter 6 for quick practice.

  • Solve PYQs: Practise class 10 Maths previous year questions (PYQs) to understand question trends.

  • Revise with sample papers: Attempt Class 10 Maths sample papers to improve speed and accuracy.

Triangles Full Chapter 6 Video

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NCERT Solutions for Class 10 Maths Chapter 6 FAQs

What is coordinate geometry?

Coordinate geometry studies points, lines, and shapes on a plane using coordinates. Practising the coordinate geometry class 10 exercises helps understand these concepts clearly.

What is the Cartesian coordinate system?

A system with an x-axis and a y-axis is used to locate points in a plane. The coordinate geometry class 10 PDF explains this with examples.

What is the section formula in coordinate geometry?

It is used to find a point dividing a line segment in a given ratio. Learn step-by-step in the coordinate geometry class 10 solutions.

What is the distance formula in coordinate geometry?

Used to calculate the distance between two points: (x2−x1)2+(y2−y1)2\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}(x2​−x1​)2+(y2​−y1​)2​. Practising coordinate geometry class 10 exercise 6.1 reinforces this formula.
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