May 20th, 2018, 08:27 AM  #1 
Member Joined: Aug 2017 From: India Posts: 32 Thanks: 1  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: 19,057 Thanks: 1618 
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.

May 21st, 2018, 07:15 AM  #3 
Member Joined: Aug 2017 From: India Posts: 32 Thanks: 1 
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: 19,057 Thanks: 1618 
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.
