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Determine Whether the Following Point is Collinear.L(2, 5), M(3, 3), N(5, 1) - Geometry Mathematics 2

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Question

Determine whether the following point is collinear.

L(2, 5), M(3, 3), N(5, 1)

Solution

 L(2, 5), M(3, 3), N(5, 1)

\[\text { Slope of LM } = \frac{3 - 5}{3 - 2} = \frac{- 2}{1} = - 2\]

\[\text { Slope of MN} = \frac{1 - 3}{5 - 3} = \frac{- 2}{2} = - 1\]

Slope of LM not equal to slope of MN. Thus, the given points are not collinear.

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Chapter 5: Co-ordinate Geometry - Practice Set 5.3 [Page 121]

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Balbharati Geometry (Mathematics 2) [English] 10 Standard SSC Maharashtra State Board
Chapter 5 Co-ordinate Geometry
Practice Set 5.3 | Q 3.3 | Page 121

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