Question

a( 1, 3 )B(2, 2) C(5, 1) are collinear or not

Answer 1

no brother.....

they are not collinear

first find out equation of ac

and then put value of b in the equation...

if it agrees there..then it is collinear

but here it does not

hope it helps

plz mark brainliest

Answer 2

Answer:

Given Points are not Collinear.

Step-by-step explanation:

Given Points are: $A(x_1,y_1)=(1,3)\:,\:B(x_2,y_2)=(2,2)\:and\:C(x_3,y_3)=(5,1)$

To find: Points are collinear or not

We find Area of triangle formed by these points, if Area of triangle is zero than its is collinear otherwise not.

Formula for area of Triangle,$Area\,of\,Traingle=\frac{1}{2}\left|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)\right|$

⇒ $Area\,of\,Traingle=\frac{1}{2}\left|1(2-1)+2(1-3)+5(3-2)\right|$

                                      $=\frac{1}{2}\left|1+2(-2)+5\right|$

                                      $=\frac{1}{2}\left|1-4+5\right|$

                                      $=\frac{1}{2}\times2$

                                      $=1$

Since, Area of Triangle ≠ 0

Therefore, Given Points are not Collinear.