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ICSE Class 9 Answered

show that the points (-5,1) (1,-1) (1,-2) are collinear
Asked by Sonu | 01 Nov, 2018, 05:24: PM
answered-by-expert Expert Answer
The three points are said to be collinear if their area is 0.
 
Let,
A = (-5,1), B=(1,-1) and C = (1,-2)
 
Substitute the values in the below formula,
 
begin mathsize 16px style open square brackets straight x subscript 1 open parentheses straight y subscript 2 space minus straight y subscript 3 space close parentheses space plus straight x subscript 2 open parentheses straight y subscript 3 space minus straight y subscript 1 space close parentheses plus space straight x subscript 3 open parentheses straight y subscript 1 space minus straight y subscript 2 space close parentheses space close square brackets end style
if this value is equal to zero then the points are collinear or else non-collinear.
Answered by Yasmeen Khan | 01 Nov, 2018, 06:04: PM

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