Access the official NCERT Class 10 Mathematics textbook for Chapter 7 – Coordinate Geometry PDF. This chapter introduces the Cartesian plane—how to locate points using coordinates (x, y)—and equips students with essential tools like the distance formula, section formula, and area of a triangle using coordinates. These algebraic techniques form the foundation for analytic geometry and have numerous applications in fields such as physics, engineering, mapping, and navigation.
Chapter Highlights:
- Introduction to Coordinate Geometry: Cartesian plane, origin, 4 quadrants, abscissa & ordinate
- Distance Formula: \(\sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2}\) for two points P and Q
- Mid-point & Section Formulae: Finding coordinates of division points (internal/external)
- Area of Triangle via Coordinates: Using determinant method to compute area and collinearity
- Collinearity Test: Area = 0 ↔ three points lie on a straight line
- Applications: Determining point positions, verifying special quadrilaterals, solving real-world geometric problems