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.

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Example of Collinear

      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.

    example of Collinear

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.