Question

the points A(1,3) B(2,2) C (5,1) are collinear are not​

Answer 1

Answer:

no .. if you will plot these points on graph you will not get these points on a same line

Answer 2

Step-by-step explanation:

Given :-

The points are A(1,3) B(2,2) C (5,1) A(1,3)________B(2,2)_______C(5,1)

Concept:-

1.If the given A,B,C are collinear then The area of a triangle formed by the given points is zero.

2.If AB+BC =AC then A,B,C are collinear

Solution:-

Area of a triangle formed byA(x1,y1),B(x2,y2) and C(X3,y3) is

∆=1/2| x1(y2-y3)+x2(y3-y1)+x3(y1-y2)|

Here, (x1,y1)=(1,3)

(x2,y2)=(2,2);

(x3,y3)=(5,1)

=>1/2|1(2-1)+2(1-3)+5(3-2)|

=>1/2|1(1)+2(-2)+5(1)|

=>1/2|1-4+5|

=>1/2|6-4|

=>1/2|2|

=>2/2

=>1 sq.unit

Conclusion:-

The area of a triangle formed by the given points is 1 sq.unit ,so It is not equal to zero

The given points are not collinear points.