Question

verify that the.point (1,2)(-1,-1)and(-3,-4) are collinear are not​

Answer 1

Answer:

Yes they are collinear

step by step explanation:

To verify that the points are collinear or not we must find the slopes

let's us consider A (1,2) B( -1,-1) C (-3,-4)

First we hv to find the slopes of AB then BC

$slope \: ab = \frac{y2 - y1}{x2 - x1}$

$= \frac{ - 1 - 2}{ - 1 - 1}$

$\frac{ - 3}{ - 2}$

cancelling - on both the sides

Slope of AB = 3/2

$slope \: bc = \frac{ - 4 + 1}{ - 3 + 1}$

$= \frac{ - 3}{ - 2}$

cancelling - on both the side we get

Slope of BC = 3/2

hence both the slopes are equal it means they are collinear

hope it helps u

Answer 2

Answer:

Let a=(1,2) b=(-1,-1) c=(-3,-4)

If they are collinear so ac =ab+bc

By distance formula,

ab=√13

bc=√13

ac=√52

Hence they not satisfy the condition so they are not collinear