Chapter 7 of Class X Mathematics, “Coordinate Geometry,” introduces students to the Cartesian coordinate system and its applications in mathematics. In this chapter, students will explore the following key topics:
- Introduction to Coordinate Geometry: Understanding the Cartesian coordinate system and its significance in representing points in a plane.
- Cartesian Plane: Learning about the two perpendicular axes, x-axis and y-axis, and how they divide the plane into four quadrants.
- Plotting Points: How to plot points on the coordinate plane using ordered pairs (x, y).
- Distance Formula: Introduction to the distance formula for finding the distance between two points in a plane.
- Section Formula: Learning the section formula for dividing a line segment in a given ratio.
- Area of a Triangle: Understanding how to find the area of a triangle using coordinates.
- Applications of Coordinate Geometry: Exploring the applications of coordinate geometry in solving problems related to lines, circles, and more.
Coordinate geometry is a fundamental concept that bridges algebra and geometry, allowing students to understand the relationship between geometric figures and algebraic equations.
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