If the points `(a ,\ 0),\ (0,\ b)a n d\ (1,\ 1)` are collinear, prove that `a+b=a bdot`

Explanation

Given: `(a ,\ 0),\ (0,\ b)a n d\ (1,\ 1)`

Then we have to show that `a+b=a b`

Then the condition of collinearity is given as:

`x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)=0`

As we given that points are collinear then

`a(b-1)+0(1-0)+1(0-b)=0`

`ab-a-b=0`

`a+b=ab`

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