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May 20th, 2018, 08:27 AM   #1
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Help with the problem

Please help me with this problem

Two points, A and B, are given in the plane. Describe the set of points for which
$\displaystyle AX2 - BX2 $ is constant.
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May 20th, 2018, 10:53 AM   #2
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Show that on the line through A and B there is a unique point P that is in the specified set, then show that the set consists of every point on the line through P perpendicular to AB.
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May 21st, 2018, 07:15 AM   #3
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First time I am attempting this kind of problem. Should I just draw it on the paper and identify all the points? Please advise.

Last edited by skipjack; May 21st, 2018 at 09:25 AM.
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May 21st, 2018, 09:46 AM   #4
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You are asked to describe the set of points. If you give a good description, that suffices. However, students are encouraged to show their working, which may include a diagram or diagrams.
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