Math, asked by kashishoberoi19, 11 months ago

determine if the points (1,5),(2,3) and (-2,-11) are collinear

Answers

Answered by Anonymous
21

Answer:

They are not collinear.

Step-by-step explanation:

Slope of line from (1,5) to (2,3)

= ( 3 - 5 ) / ( 2 - 1 )

= -2 / 1

= -2

Slope of line from (-2,-11) to (2,3)

= ( 3 - (-11) ) / ( 2 - (-2) )

= ( 3 + 11 ) / ( 2 + 2 )

= 14 / 4

= 7 / 2

As these are not equal, these are two different lines through (2,3), so the three points are not collinear.


Anonymous: Hello. I hope this helps you. Plz mark it brainliest. Have a good day!
shravani36: first understand the question then ans
shravani36: in this que if the points are collinear then apply area of triangle formula
Anonymous: Yes, showing that the three points make a triangle with nonzero area is definitely another way to show that three points are not collinear. On this occasion though, it seemed much simpler to just use the fact that slope(AB) not equal to slope(AC) means A, B, C are not collinear!
Answered by paryuljain23
4
Hey!!! Liam here is your answer :

Let the points (1, 5), (2, 3), and (- 2,-11) be representing the vertices A, B, and C of the given triangle respectively.Let A = (1, 5), B = (2, 3) and C = (- 2,-11)



Since AB + BC ≠ CA

Therefore, the points (1, 5), (2, 3), and ( - 2, - 11) are not collinear.
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