Show that the points P(a,b+c), Q(b,c+a)and R(c,a+b) are collinear
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Show that the points P(a,b+c), Q(b,c+a)and R(c,a+b) are collinear
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Answer:
Step-by-step explanation:
Let these points be collinear .
a(c+a-a-b) + b(a+b-b-c) +c(b+c-c-a) =0
ac -ab +ab-bc+bc-ac=0
0=0
LHS=RHS
These points are collinear .
Our supposition is correct .
Hence Proved