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Question

Using distance formula show that distance points are collinear (1,1),(5,2),(9,5).

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Solution

A(1,1),B(5,2),C(9,5)
AB=(51)2+(2(1))2=42+32=25=5
BC=(95)2+(52)2=42+32=25=5
CA=(91)2+(5(1)2)=82+62=100=10
as AB+BC=CA
A,B,C are collinear.

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