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

ShareThe 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.

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

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 |

**Formulas of Coordinate Geometry Class 10 | RD Sharma**

1. To find the distance between two points P (x_{1}, y_{1}) and Q (x_{2}, y_{2}), use the following formula.

Distance between P (x_{1}, y_{1}) and Q (x_{2}, y_{2}) = √(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}

2. To calculate the distance between the point P(x,y) and the origin is √x^{2} + y^{2}

3. To find the coordinates of the point P (x,y) that divides the line segment AB having coordinates A (x_{1}, y_{1}) and B (x_{2}, y_{2}) internally in the ratio m_{1}: m_{2} are

{(m_{1}x_{2} + m_{2}x_{1})/ (m_{1} + m_{2}), (m_{1}y_{2 }+ m_{2}y_{1})/ (m_{1}+ m_{2})}

4. To obtain the midpoint of the line segment PQ having coordinates P (x_{1}, y_{1}) and Q (x_{2}, y_{2}) is given by

{(x_{1} + x_{2})/2, (y_{1} + y_{2})/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. {x_{1} (y_{2} - y_{3}) + x_{2} (y_{3} - y_{1}) + x_{3} (y_{1}- y_{2})}

**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.

- Introduction
- Distance Formula
- Section Formula
- Area of a Triangle