Question

check wether the following point are colline
ar (0,-2), (6,-2) and (6,2)​

Answer 1

Step-by-step explanation:

GIVEN :

let the given three points be

A (0,-2)

B (6,-2)

C (6,2)

TO PROVE :

the points are collinear are not

PROOF :

as we know that if the three points are collinear then the condition is

AC = AB + BC

Distance between the two points A and B is

AB^2 = (6+0)^2 + (2-2)^2

AB^2 = 36 + 0

AB = √36

Distance between the two points B and C is

BC^2 = (6-6)^2. +. (2+2)^2

BC^2 = 0 + 16

BC = √16

Distance between the two points C and A is

CA^2 = (6-0)^2 + (2+2)^2

CA^2 = 36 + 16

CA = √52

FROM THE CONDITION

AC = AB + BC

√52 = √36 + √16

√52 = √ 36 + 16

√52 = √52

THEREFORE L.H.S. IS EQUAL TO R.H.S AND THE LINES ARE COLLINEAR

IF IT IS HELPFULL MARK IT AS A BRAINLIEAST PLZ

Answer 2

RAM RAM

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