Question

(1,3)(0,2)(-4,0) are they collinear
​

Answer 1

Answer:

Let the three points be A(1,3), B(0,2) and C(-4,0).

Now, for A, B and C to be collinear, it should satisfy AB+BC=AC

Now find

AB=√1²+1²=√2

BC=√4²+2²=√20

AC=√3²+3²=√18

Here, I have used distance formula.

Now let's see if AB+BC=AC

√2+√20=√2(1+√10)

And √18=3√2

Hence, AB+BC≠AC

so They are non-collinear

Welcome to Brainly!

Another method:

Slope from (1,3) to (0,2) is (3-2) / (1–0) = 1/1= 1

Slope from (0,2) to (-4,0) is 2/4= 1/2

Hence,both slopes are not equal,so they are not collinear.