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

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Answer 1 · 2018-08-05T06:23:12

The given points are non collinear.

Here ,

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

#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.