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August 3rd, 2018, 12:43 PM   #1
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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".
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August 3rd, 2018, 12:51 PM   #2
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Are you familiar with straight line equation?

https://www.mathsisfun.com/algebra/l...n-2points.html
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August 3rd, 2018, 03:07 PM   #3
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Quote:
Originally Posted by avcimertb View Post
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....
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Last edited by skipjack; August 3rd, 2018 at 07:25 PM.
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August 3rd, 2018, 07:35 PM   #4
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The problem doesn't require that the points are distinct, so a = -2 or -3.
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August 3rd, 2018, 08:09 PM   #5
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Quote:
Originally Posted by skipjack View Post
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
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August 4th, 2018, 10:52 PM   #6
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Originally Posted by topsquark View Post
(As if I'm humble. )

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Or... as if you're Honest
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