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 May 20th, 2018, 08:27 AM #1 Member   Joined: Aug 2017 From: India Posts: 45 Thanks: 2 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.
 May 20th, 2018, 10:53 AM #2 Global Moderator   Joined: Dec 2006 Posts: 19,703 Thanks: 1804 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. Thanks from Country Boy
 May 21st, 2018, 07:15 AM #3 Member   Joined: Aug 2017 From: India Posts: 45 Thanks: 2 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.
 May 21st, 2018, 09:46 AM #4 Global Moderator   Joined: Dec 2006 Posts: 19,703 Thanks: 1804 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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