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 August 3rd, 2018, 12:43 PM #1 Newbie   Joined: Aug 2018 From: Turkey Posts: 1 Thanks: 0 Analytic Geometry Points A(2,-a), B(-a,2) and C(2,3) are in the same straight line. What values can a be? (Sorry for bad English translation.) Last edited by skipjack; August 3rd, 2018 at 07:25 PM. Reason: to replace "2.3" with "2,3".
 August 3rd, 2018, 12:51 PM #2 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,612 Thanks: 954 Are you familiar with straight line equation? https://www.mathsisfun.com/algebra/l...n-2points.html
August 3rd, 2018, 03:07 PM   #3
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Quote:
 Originally Posted by avcimertb Points A(2,-a), B(-a,2) and C(2,3) are in the same straight line.
Do you mean C(2,3)?
If so, then line AC is vertical, to right of y-axis.
So B can't be on AC.
Are you sure you posted correctly?

Note: I may have missed something....

Last edited by skipjack; August 3rd, 2018 at 07:25 PM.

 August 3rd, 2018, 07:35 PM #4 Global Moderator   Joined: Dec 2006 Posts: 19,977 Thanks: 1851 The problem doesn't require that the points are distinct, so a = -2 or -3. Thanks from topsquark
August 3rd, 2018, 08:09 PM   #5
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Quote:
 Originally Posted by skipjack The problem doesn't require that the points are distinct, so a = -2 or -3.
I agree that's the only way out but that makes it a bad problem, IMHO. (As if I'm humble. )

-Dan

August 4th, 2018, 10:52 PM   #6
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 Originally Posted by topsquark (As if I'm humble. ) -Dan
Or... as if you're Honest

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