COLLINEAR
Definition Of Collinear
Three or more points that lie on the same straight line are called to be Collinear.
More about Collinear
Three points (xi , yi , zi), where i = 1, 2, 3, are collinear if x2 - x1 : y2 - y1 : z2 - z1 = x3 - x1 : y3 - y1 : z3- z1.
Video Examples: Maths IIT Vectors
Example of Collinear
In the above diagram, the points P, Q, and R are collinear.
Solved Example onCollinear
Ques: Determine the points that are collinear in the following diagram.
Choices:
A. A, B, F
B. A, B, C, D
C. A, B, C, D, E, F, G
D. E, F, G
Correct Answer: B
Solution:
Step 1: Three or more points that lie on the same straight line are called collinear.
Step 2: In the above diagram, points A, B, C, D lie on the same straight line.
Step 3: So, the points A, B, C, D are collinear.
Quick Summary
- Collinear points lie on the same line.
- Two points are always collinear.
🍎 Teacher Insights
Use visual aids and real-world examples to illustrate collinearity.🎓 Prerequisites
- Points
- Lines
- Plane Geometry
Check Your Knowledge
Q1: Which of the following points are collinear in the diagram?
Frequently Asked Questions
Q: How do you determine if points are collinear?
A: You can check if the slopes between pairs of points are equal, or if the area of the triangle formed by the points is zero.