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प्रश्न
If the points A (1,2) , O (0,0) and C (a,b) are collinear , then find a : b.
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उत्तर
For the three points `(x_1,y_1) , (x_2 , y_2) " and " (x_3,y_3)` to be collinear we need to have area enclosed between the points equal to zero.
Here, points `(x_1,y_1) , (x_2 , y_2) " and " (x_3,y_3)` are
\[ \Rightarrow - b + 2a = 0\]
\[ \Rightarrow 2a = b\]
\[ \Rightarrow \frac{a}{b} = \frac{1}{2}\]
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