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NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry - PDF Download

JEE Mains & Advanced

The NCERT solution for class 10 maths chapter 7 Coordinate Geometry covers the various components of coordinate geometry. The distance of a point from the y-axis is called its x-coordinate, or abscissa. The distance of a point from the x-axis is called its y-coordinate, or ordinate. These are the most basic and important terms related to coordinate geometry that students need to understand. NCERT solutions for class 10 maths chapter 7 is very important because it helps students to know the distance between the given coordinates and to know the area of the triangle formed by three given points. Additionally, you also learn how to find the coordinates of the point which divides a line segment joining in a given ratio.

NCERT solutions for class 10 maths chapter 7 provides you with all the fundamental concepts of Coordinate Geometry. All solutions are designed by the experienced teachers of eSaral. The NCERT solution for class 10 maths chapter 7 Coordinate Geometry, includes all the exercises questions. These solutions are easily accessible and downloadable by students. Here you can get step-by-step answers to various types of questions in the chapter. Practicing NCERT solutions will help you achieve excellence on the topics related to coordinate geometry.

Important Topics covered in Chapter 7 - Coordinate Geometry

NCERT solutions provides an overview of the topics covered in Chapter 7 of class 10 maths.

7.1 Introduction

7.2 Distance Formula

7.3 Section Formula

7.1 Introduction - Here, you will learn how to find the distance between two points whose coordinates are given and to find the area of triangle form by three given points. You will also learn how to identify the coordinates of a point that splits a line segment connecting two points in a certain ratio.

7.2 Distance Formula - The Pythagorean theorem states that the distance formula can be used to measure the distance between two given points. Typically, these points are constructed on the x-y coordinate plane.

Distance is always non-negative, we take only the positive square root.

Distance between the points P(x1, y1) and Q(x2, y2) is -

                                 PQ = √ (x2 - x1)^2 + (y2 - y1)^2

7.3 Section Formula - The coordinate of the point that divides the line segment connecting A(x1, y1) to B(x2, y2), internally in the ratio (m : n) are

                    (m1x2+m2x1/m1+m2, m1y2+m2y1/m1+m2) 

This is known as the section formula.

Special case - The midpoint of a line segment divides the line segment in the ratio 1 : 1. Therefore, the coordinates of the midpoint P of the join of the points A(x1 , y1 ) and B(x2 , y2 ) is:      

                   (x1+x2/2, y1+y2/2)

NCERT Solutions for Class 10 Maths Chapter 7 Exercises

Below is an analysis of each of the exercises in NCERT solutions class 10 maths chapter 7 Coordinate geometry.

Exercise 7.1

10 Questions & Solutions

Exercise 7.2

10 Questions & Solutions

Benefits of Downloading The NCERT Solutions for Class 10 Maths Chapter 7 - Coordinate Geometry

To aid in understanding of complex topics in chapter 7, downloading the NCERT solutions for class 10 maths chapter 7 can prove immensely beneficial.

  1. Completing these NCERT solutions will familiarize you with the relevant formulas and criteria.

  2. With the help of diagrams and alternative methods provided in NCERT solutions, you will gain a comprehensive understanding of the concepts.

  3. One of the main benefits of downloading NCERT solutions for class 10 maths chapter 7 is that they provide precise and accurate solutions to a wide range of questions.

  4. NCERT solutions offer a broad selection of problem solutions that address a variety of levels of difficulty. Through practice, students can strengthen their comprehension of the concepts and enhance their self-confidence in their problem solving skills.

Frequently Asked Questions

Question 1. Do I need to complete all the exercises provided by chapter 7 of NCERT solution for class 10 maths?

Answer 1. Yes, it is mandatory to do all the exercises in chapter 7 NCERT solutions class 10 maths as all the exercises have many questions to solve. This makes you feel more confident about the final exams.

Question 2. What are the most important topics in NCERT class 10 chapter 7 Coordinate geometry?

Answer 2. Distance formula, section formula and area of triangle are important topics in class 10 chapter 7 Coordinate geometry. The questions related to these three topics are highly weighted in the exams. They can also use the solved examples and the exercises to provide a comprehensive overview of this topic.That's why it's important for students to get good practice with them.