Question

Explain how to check whether A(-3,-1), B(1,3) and C(-1,1) are collinear points using section formula

Answer 1

Answer:

Given: A(−3,−1),B(1,3),C(−1,1)

A(−3,−1)≡(x  

2

​

,y  

2

​

),B(1,3)≡(x  

1

​

,y  

1

​

)

let C divides AB in ratio k:1

Here m=k and n=1

so apply ratio formula we get  

[x=(  

m+n

mx  

1

​

+nx  

2

​

 

​

)] and [y=(  

m+n

my  

1

​

+ny  

2

​

 

​

)]

k+1

k−3

​

=1

and  

k+1

3k−1

​

=1 _____(1)

by solving (1) equations we get k=1

therefore C divides AB in the ratio of 1:1

so the three points are collinear

Step-by-step explanation:

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