Class 10th Maths Chapter 7: Exercise 7.1 | Coordinate Geometry | Kushal Pareek

Chapter 7: Coordinate Geometry – Exercise 7.1 Exercise 7.1 of Coordinate Geometry is mainly based on the distance formula. In this exercise, you learn how to find the distance between two points whose coordinates are given on the Cartesian plane. What You Learn in Exercise 7.1 1. Cartesian Plane & Coordinates Every point on the plane is represented as (x, y). x-coordinate tells how far the point is from the y-axis. y-coordinate tells how far the point is from the x-axis. 2. Distance Formula To find the distance between two points A(x_1, y_1) \text{ and } B(x_2, y_2) AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} 3. Why this formula? It is derived from the Pythagorean theorem. The horizontal and vertical difference between points forms a right-angled triangle, and the distance is the hypotenuse. 4. Types of Questions in Exercise 7.1 Finding distance between two given points. Checking if a triangle is isosceles, right-angled, or equilateral using distances. Proving points lie on a straight line by comparing distances. 5. Application You use this formula to study shapes and figures on graphs. It helps in geometry, physics (distance between objects), and maps.