Question

Are the set of points A (3, 0), B(-2, 10), C(0, 5) are collinear?

Answer 1

The given points are non collinear.

Explanation:

Here ,

`A(3,0) ,B(-2,10) ,C(0,5).`

Using Distance Formula:

`AB=sqrt((3+2)^2+(0-10)^2)=sqrt(25+100)=sqrt125=5sqrt5`

`BC=sqrt((-2-0)^2+(10-5)^2)=sqrt(4+25)=sqrt29`

`AC=sqrt((3-0)^2+(0-5)^2)=sqrt(9+25)=sqrt29`

Now,

`AB+BC!=AC ,`

`BC+AC!=AB,`

`AB+AC!=BC`

So, the given points are non collinear.