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It is being given that the points A\left ( 1,2 \right ), B\left ( 0,0 \right ) and C\left ( a,b \right ) are collinear. Which of the following relations between a and b is true ? 
Option: 1 a = 2b
Option: 2 2a=b
Option: 3 a+b = 0
Option: 4 a-b=0

Answers (1)

\\$Area of triangle $ = \frac{1}{2}[1(0-\mathrm{b})-2(0-\mathrm{a})+1(0-0)] \\ A, B, C$ are collinear, the area of the triangle $\Delta A B C is zero. \\ \frac{1}{2}[1(0-\mathrm{b})-2(0-\mathrm{a})+1(0-0)]=0 \\ -\mathrm{b}+2 \mathrm{a}=0$ \\ $2 a=b$ \\

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