# RD SHARMA Solutions for Class 10 Mathematics Chapter 14: Coordinate geometry

Students were taught the basics of coordinate geometry in the previous academic session, precisely speaking, coordinates and axes. Chapter 14- Coordinate geometry is a continuation of this topic and involves problem-solving of a slightly higher standard. The chapter starts with the definition and explanation of the Distance formula, which is as follows- for two points, P(x1,y1) and Q(x2,y2);

Where x1, y1, x2 and y2 are the coordinates of the respective points.

It also provides certain theorems which are derived based on the Distance formula, followed by a new method called the Section Formula, which states that 'the coordinates of the point P(x, y) which divides the line segment joining the points A(x1, y1) and B(x2, y2), internally, in the ratio m1: m2 are represented as follows:'

As the definition suggests, the section formula helps us calculate the ratio at which a particular point cuts the given line segment. Furthermore, Chapter 14-Coordinate Geometry, deals with calculating the area of a triangle when the coordinates of the vertices are the only data provided to us. This can be done using a specific formula which is as follows- for a triangle ABC, with vertices A(x1,y1); B(x2,y2) and C(x3,y3), the area is represented as

This chapter holds great value in the following academic sessions and has a heavy weightage based on the previous examination patterns, and hence students must understand every topic thoroughly.