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| 1. |
Determine if the points (1,5)(3,3)and(-2,-11) collinear |
| Answer» Let A = (1, 5), B = (2, 3) and C = (-2, -11){tex}AB = \\sqrt {{{(2 - 1)}^2} + {{(3 - 5)}^2}} = \\sqrt 5 {/tex}{tex} BC = \\sqrt {{{( - 11 - 3)}^2} + {{( - 2 - 2)}^2}} = \\sqrt {212} {/tex}{tex}AC = \\sqrt {{{( - 2 - 1)}^2} + {{( - 11 - 5)}^2}} = \\sqrt {265} {/tex}AB + BC\xa0{tex} \\ne {/tex}\xa0ACHence, A, B and C are not collinear | |