Definition Of Collinear

Three or more points that lie on the same straight line are called to be Collinear.

More about Collinear

Three points (x_i , y_i , z_i), where i = 1, 2, 3, are collinear if x₂ - x₁ : y₂ - y₁ : z₂ - z₁ = x₃ - x₁ : y₃ - y₁ : z₃- z₁.

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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.

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