Are the point a( 4,5) ,b( 7,6) c( 6,3) are collinear
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Step-by-step explanation:
the given points a(4,5) b(7,6) c(6,3) are not collinear
Answered by
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Collinear:
The points fall or lie on the same line .
Find the distance between them
A(4,5)
B (7,6)
C(6,3)
d (AB)= sqrt ( 7-4)^2 + (6-5)^2
d (AB)= sqrt 10
d(BC) = sqrt (7-6)^2+ (6-3)^2
d(BC) = sqrt 10
d(AC) = sqrt (4-6)^2 + (5-3)^2
d(AC) = sqrt 8
Sqrt 10 + sqrt 10 ? sqrt 8
2 sqrt 10 # 2 sqrt 2
Hence they are not collinear
The points fall or lie on the same line .
Find the distance between them
A(4,5)
B (7,6)
C(6,3)
d (AB)= sqrt ( 7-4)^2 + (6-5)^2
d (AB)= sqrt 10
d(BC) = sqrt (7-6)^2+ (6-3)^2
d(BC) = sqrt 10
d(AC) = sqrt (4-6)^2 + (5-3)^2
d(AC) = sqrt 8
Sqrt 10 + sqrt 10 ? sqrt 8
2 sqrt 10 # 2 sqrt 2
Hence they are not collinear
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