Q11 of 184 Page 10

Prove that the points (a, b+c), (b, c+a) and (c, a+b) are collinear.

Given: A(a, b + c), B(b, c + a) and C(c, a + b)


To prove : Given points are collinear


We know the points are collinear if area(∆ABC)=0


Area of triangle


Then,


Area




= 0


Hence, Points are collinear.


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