# collinear points

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• May 3rd 2009, 08:03 AM
Quote:

Originally Posted by danny arrigo
How did you arrive at that answer?

Quote:

Originally Posted by Plato
The points are distinct and collinear for $a=3:$ $\;\;(3,1),~(1,3),~(2,2)$.

that makes things simpler. we now see that its not -no point- now.............so how do we now prove that there are infinitely many of them?
• May 3rd 2009, 08:05 AM
Quote:

that makes things simpler. we now see that its not -no point- now.............so how do we now prove that there are infinitely many of them?

oh! i think it will now be true of all $a /geq 3$, right??? sorry for the later. its a greater than equal to three.....for all integral values of a....
• May 3rd 2009, 08:08 AM
Plato
Quote:

There is only one solution: $a=3$.