Question

A(-3,0) B(0,0) and C(3,0) are collinear or non collinear??​

Answer 1

Step-by-step explanation:

In order to find whether given points are collinear or nor not, let us find the slopes of AB and BC, if their SLOPES are equal, given points will be collinear.

$Slope \: of \: AB = \frac{0 - 0}{ - 3 - 0} = \frac{0}{ - 3} = 0..(1) \\ Slope \: of \: BC = \frac{0 - 0}{ 0 - 3} = \frac{0}{ - 3} = 0.....(2) \\ From \: equations \: (1) \: and \: (2) \: it \: is \: \\ clear \: that : \\ Slope \: of \: AB = Slope \: of \: BC \\ B \: is \: their \: common \: point \\ Hence \: given \: points \: are \: collinear.$

Answer 2

It is collinear, since all the points lies on y axis.