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Question

A(2,3), B(4,7)and C(6,11) are three points in a plane. Choose the correct statement.

The correct answer is

A, B and C are collinear

Three points are collinear if the slope of AB equals the slope of BC.

Slope of AB = \(\frac{7 - 3}{4 - 2} = \frac{4}{2} = 2\)

Slope of BC = \(\frac{11 - 7}{6 - 4} = \frac{4}{2} = 2\)

Both slopes are equal and B is a common point, so A, B and C lie on the same straight line. They cannot form a triangle.

Hence, the answer is A, B and C are collinear.

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