Determine whether points A (3, 1), B (5, 3) and C (9, 7) are collinear or not.
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Answer:
Answer
A(1,−3),B(2,−5),C(−4,7)
AB=
(1−2)
2
+(−3−(−5))
2
(−1)
2
+2
2
=
5
BC=
(2−(−4))
2
+(−5−7)
2
36+144
180
=6
5
AC=
(−1−(−4))
2
+(−3−7)
2
=
25+100
=
125
=5
5
AB+AC=BC
5
+5
5
=6
5
Thus,the given points lie on the same line.Hence,they are collinear.
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