RD Sharma Class 10 Chapter 14 (Coordinate Geometry) Solutions

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The concept of RD Sharma Class 10 Chapter-14 is based on locating the points on a plane. To mark x-coordinate on a graph, you consider the distance between the point and the y-axis. On the other hand, y-coordinate can be found by measuring the distance between the point and the x-axis. 

In total, there are five important formulas in this chapter. First, you will learn to find out the distance between the two points of a line segment. You can use the same formula to calculate the distance between a point and the origin. Next, you will learn to find the coordinates of the point P(x,y) that divides a line segment internally in the given ratio. 

You will come across various questions that ask you to find the midpoint of the line segment. Questions having the maximum weightage in this chapter are that of a triangle in which you need to find its area formed by three points. Take a quick look at all formulas of Coordinate Geometry Class 10 below. 

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Chapter 14 - Co-ordinate Geometry

RD Sharma - MathematicsClass 10th , RD Sharma
Chapter 1 - Real Numbers
Chapter 2 - Polynomials
Chapter 3 - Pair of Linear Equations in Two Variables
Chapter 4 - Triangles
Chapter 5 - Trigonometric Ratios
Chapter 6 - Trigonometric Identities
Chapter 7 - Statistics
Chapter 8 - Quadratic Equations
Chapter 9 - Arithmetic Progressions
Chapter 10 - Circles
Chapter 11 - Constructions
Chapter 12 - Some Application of Trigonometry
Chapter 13 - Probability
Chapter 14 - Co-ordinate Geometry
Chapter 15 - Areas Related to Circles
Chapter 16 - Surface Areas and Volumes
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Class 10th RD Sharma

Formulas of Coordinate Geometry Class 10 | RD Sharma

1. To find the distance between two points P (x1, y1) and Q (x2, y2), use the following formula.

Distance between P (x1, y1) and Q (x2, y2) = √(x2 - x1)2 + (y2 - y1)2

2. To calculate the distance between the point P(x,y) and the origin is √x2 + y2

3. To find the coordinates of the point P (x,y) that divides the line segment AB having coordinates A (x1, y1) and B (x2, y2) internally in the ratio m1: m2 are

{(m1x2 + m2x1)/ (m1 + m2), (m1y+ m2y1)/ (m1+ m2)} 

4. To obtain the midpoint of the line segment PQ having coordinates P (x1, y1) and Q (x2, y2) is given by

{(x1 + x2)/2, (y1 + y2)/2}

5. To obtain the area of the triangle formed by the coordinates of its three vertices (x1, y1), (x2, y2) and (x3, y3), apply the following formula

½. {x1 (y2 - y3) + x2 (y3 - y1) + x3 (y1- y2)}

Concepts in RD Sharma Class 10 Chapter-14

In the first and second exercise, the distance formula will come into use for finding the distance between the  two points. You will deal with different shapes, including a square, a triangle, a parallelogram, and a rhombus. 

Likewise, there are three more exercises that cover the questions involving the use of the remaining three formulas. In Chapter-14 RD Sharma Class 10 Solutions, you will find that a whole exercise is dedicated to practice a variety of questions for every single formula. 

  1. Introduction
  2. Distance Formula
  3. Section Formula
  4. Area of a Triangle