# RD Sharma Class 10 Chapter 14 Solutions (Coordinate Geometry)

RD Sharma Class 10 Maths Solutions Chapter 14 – Coordinate Geometry will help you prepare for the Board exams in an effective manner. In this chapter, you learn about how to find the distance between the two points whose coordinates are provided. Then you learn to calculate the area of a triangle formed by three given points. You also study methods to find the coordinates of a point dividing a line segment in a given ratio where the referred line joins two given points on a graph. To perform all these, you learn about distance formula, section formula and area of a Triangle in this Chapter.

Chapter 14 of RD Sharma Class 10 Maths Solutions Book has 5 exercises. Studying from our RD Sharma Class 10 Maths Coordinate Geometry Solutions will definitely help you in solving different questions on locating the coordinates, determining the distance from a point, calculating the distance between two points, dividing a line segment into two parts in a particular ratio and determination of the area of the Triangle. Solving all these questions need your analyzing skills as you need to evaluate the information given and then apply the same in terms of the coordinate axes.

All of the questions asked in RD Sharma Class 10 Maths Coordinate Geometry Solutions have been answered accurately and in a step by step manner. Our solutions can be used as a handy tool for revision during the exams. They cover all possible questions that can be asked in your board exams. They have been drafted in a simple and lucid language to help you learn effectively. Our Maths shortcuts are just what you need to increase your overall speed and efficiency.

## Class 10 Maths Coordinate Geometry

**Distance Formula**

Here you learn how to find the distance between two points without actually measuring the distance. The points are imagined to be on a coordinate axis first, and then the Pythagoras theorem is applied to do the calculations.

The distance formula for the distance between the points P(*x*1, *y*1) and Q(*x*2, *y*2) is given as –

**Section Formula**

Here you learn how to divide a line of known length into two parts where the parts are in a given ratio. This is also done by placing the points on an imaginary coordinate axis, drawing perpendicular lines from those point to one of the axes and then applying the similarity of Triangle criteria.

**Area of a Triangle**

Here you learn an alternative procedure to calculate the area of a Triangle**. **The given Triangle is imagined to be placed on a coordinate axis with its vertices placed at points A, B and C where A (*x*1, *y*1), B (*x*2, *y*2) and C (*x*3, *y*3). Then perpendicular lines from these vertices are drawn to the *x*-axis to form 3 corresponding trapezia, where the area of D ABC = area of trapezium ABQP + area of trapezium APRC – the area of trapezium BQRC. Solving all the trapezia for their areas, you can calculate the area of a Triangle.

### RD Sharma Class 10 Maths Chapter 14 Exercises

This Chapter provides a thorough understanding and comprehensive knowledge of the concepts discussed through its practice exercises. The components of the questions asked in these exercises are discussed below.

**Exercise 14.1**

This exercise consists of 3 questions. Question 1 is a direct question asking you to point out the axes on which the given coordinate points are lying. Questions 2 and 3 ask you to point out the coordinates of vertices of different geometrical figures given in the questions.

**Exercise 14.2**

This contains a total of 4 questions. Question 1 asks you to determine the distance between two points on a given coordinate. Questions 2 to 4 are also based on the distance between two points when their distances are given on coordinate axes.

**Exercise 14.3**

You can find 5 questions in this exercise. Question 1 asks you to find coordinates of the point which divide a given line in a given ratio. Question 2 asks you to find the point of trisection of the line segments formed by joining the given points on coordinate axes. Question 4,5 asks you to prove that the points given form a parallelogram.

**Exercise 14.4**

This exercise has a total of 5 questions. Question 1 asks you to find the centroid of a Triangle with given vertices. Question 2 asks you to find one of the vertices of a triangle whose other vertices and the centroid is given. Questions 3 to 5 ask you to prove the geometrical questions analytically.

**Exercise 14.5**

This exercise consists of 2 complex questions. Question 1 asks you to find the area of Triangles for which vertices are given. Question 2 asks you to calculate the area of specified quadrilaterals.

### Benefits of RD Sharma Class 10 Maths Solutions for Chapter 14 – Coordinate Geometry

- They are easy to understand as they are written in a simple language.
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- They are 100% accurate, reliable and cater to all your learning & revision needs.
- Our RD Sharma Solutions make learning interesting, fun and efficient.
- They help you improve your conceptual knowledge and your retention rate.
- They help you to achieve higher marks in Class 10 board exams and prepare for the competitive exams you are planning to take in the future.
- They have been drafted as per the latest Class 1o Maths Syllabus.
- The questions have been solved using the best methods of solving the problems.