7. COORDINATE GEOMETRY
This chapter explores the fundamentals of coordinate geometry, focusing primarily on the distance between points and the section formula for dividing line segments. It emphasizes the relationship between algebra and geometry through various examples and concepts, such as forming triangles and determining collinearity among points. The introduction of key formulas and the exploration of real-life applications exemplify the significance of coordinate geometry in numerous fields.
Enroll to start learning
You've not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Sections
Navigate through the learning materials and practice exercises.
What we have learnt
- The distance formula for two points P(x1, y1) and Q(x2, y2) is given by PQ = √[(x2 - x1)² + (y2 - y1)²].
- The coordinates of a point P, which divides a line segment joining points A(x1, y1) and B(x2, y2) in the ratio m:n are derived using the section formula.
- The mid-point of a line segment can be calculated using the average of the coordinates of the endpoints.
Key Concepts
- -- Distance Formula
- A mathematical equation used to determine the distance between two points in a coordinate plane.
- -- Section Formula
- A formula used to find the coordinates of a point that divides a line segment into a specific ratio.
Additional Learning Materials
Supplementary resources to enhance your learning experience.