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