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Determine whether following points are c...

Determine whether following points are collinear.
`A(-1, -1), B(0,1), C(1,3)`

Text Solution

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`A(-1,-1),B(),1)` and `C(1,3)`
Slope of line `AB=(1-(-1))/(0-(-1))`
`=2/1`
`=2`
Slope of line `BC=(3-1)/(1-0)`
`=2/1=2`
Slope of line AB `=` slope of line BC and B is the common point.
`:.` points A,B and C are collinear.
Points `A(-1,-1),B(0,1)` and `C(1,3)` are collinear.
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