Question

verify that points (1,5),(2,3),(_2,_1) are collinear or not ​

Answer 1

1,5

2,3

-2,-1

M1M2=-1

THEN THEY ARE COLLINEAR

M1

=y2-y1/x2-x1

=2-1/3-5

=-1/2

M2

=y3-y2/x3-x2

=-2-2/-1-3

=-4/-4

=1

Therefore,

They are not collinear

Answer 2

$\mathfrak{<u>Answer:-}</u>$

If the lines are collinear, they must satisfy the equation

x₁(y₂-y₃)+x₂(y₃-y₁)+x₃(y₁-y₂) = 0

Substituting the terms we get,

1(3-(-1))+2(-1-5)+-2(5-3)

= 4-12-4

= -12

-12≠0

Hence they are not collinear