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Try slope if three points are collinear they same slope
slope= \frac{2-0}{1-0}= \frac{b-0}{a-0}
b=2a (c)
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Value of area of a triangle =0 for 3 collinear pts
so 1/2(1*(0-b)+0*(b-2)+a*(2-0))=0
 0r   -b+2a=0
 or      2a=b
hence (c) is the correct option

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