Question

verify that the points (1,5),(2,3),(-2,-1) are collinear or not ( dont. use formula)

Answer 1

Answer:

Not collinear

Step-by-step explanation:

Let A(1,5),B(2,3) and C(-2,-1) are three points .

$Slope \: of \: joining \:the\:two\\\: points \:A(x_{1},y_{1})\:and \:B(x_{2},y_{2})\: :\\slope(m_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$Slope \:of \:A(1,5) ,\:B(2,3)\\=\frac{3-5}{2-1}\\=\frac{-2}{1}\\=-2--(1)$

$Slope \:of \:B(2,3) ,\:C(-2,-1)\:(m_{2})\\=\frac{-1-3}{-2-2}\\=\frac{-4}{-4}\\=1\:----(2)$

/* From (1) and (2),

$m_{1}≠ m_{2}$

Therefore,

Given A(1,5),B(2,3) and C(-2,-1) are three points are not collinear.

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