Overview
Exercise 9.1
Exercise 9.2
Exercise 9.3
Review Exercise
MCQ’s
Unit 9 of Class 9th Math introduces students to Coordinate Geometry, which is the study of geometric figures using a coordinate system. This unit forms the foundation for understanding the relationship between algebra and geometry.
Key Concepts:
- Coordinate Plane:
- Introduction to the Cartesian plane, defined by two perpendicular axes: the x-axis (horizontal) and the y-axis (vertical).
- Understanding the origin (0,0) and how points are plotted using ordered pairs (x, y).
- Plotting Points:
- Learn how to accurately plot points on the coordinate plane based on their coordinates.
- Understanding the four quadrants of the coordinate plane.
- Distance Formula:
- Introduction to the distance between two points (x1,y1)(x_1, y_1)(x1,y1) and (x2,y2)(x_2, y_2)(x2,y2) using the formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2}d=(x2−x1)2+(y2−y1)2
- Midpoint Formula:
- Calculating the midpoint of a line segment connecting two points using: Midpoint=(x1+x22,y1+y22)\text{Midpoint} = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)Midpoint=(2×1+x2,2y1+y2)
- Applications:
- Explore how coordinate geometry is used in various fields, including engineering, computer graphics, and navigation.
Importance:
Understanding the fundamentals of coordinate geometry equips students with essential tools for solving problems involving shapes and distances. It enhances their ability to visualize geometric concepts in a two-dimensional space, paving the way for further studies in mathematics and related fields.