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: 13,964 Thanks: 991  
August 3rd, 2018, 03:07 PM  #3  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,964 Thanks: 991  Quote:
If so, then line AC is vertical, to right of yaxis. 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: 20,288 Thanks: 1968 
The problem doesn't require that the points are distinct, so a = 2 or 3.

August 3rd, 2018, 08:09 PM  #5 
Math Team Joined: May 2013 From: The Astral plane Posts: 2,041 Thanks: 815 Math Focus: Wibbly wobbly timeywimey stuff.  
August 4th, 2018, 10:52 PM  #6 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,764 Thanks: 623 Math Focus: Yet to find out.  

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