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aroub
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Consider the figure below. Given that the two concentric circles are fixed. Find the locus of midpoint MN as M traces on outer circle, keeping O,N and M are collinear.
 2 years ago
 2 years ago
aroub Group Title
Consider the figure below. Given that the two concentric circles are fixed. Find the locus of midpoint MN as M traces on outer circle, keeping O,N and M are collinear.
 2 years ago
 2 years ago

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aroub Group TitleBest ResponseYou've already chosen the best response.0
dw:1352052268576:dw
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.0
the locus is a circle  can you say what its radius is?
 2 years ago

aroub Group TitleBest ResponseYou've already chosen the best response.0
Yes, I can. But only if you told me how did you get it and which circle?
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.1
keeping O,N and M are collinear. means a fixed length (like a stick)
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.1
if M traces out the outer circle, what does the rest of the "stick" do?
 2 years ago

aroub Group TitleBest ResponseYou've already chosen the best response.0
Another circle? With radius OM?
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.0
no the radius is ON + (MN/2)  do you see why?
 2 years ago

aroub Group TitleBest ResponseYou've already chosen the best response.0
The other circle that will be formed is it like this? dw:1352053569404:dw
 2 years ago

aroub Group TitleBest ResponseYou've already chosen the best response.0
Great :D So how did you get the radius? It's OM + MN?
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.0
no!!! sorry  the circle rund in between the 2 original circles
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.1
The mid point of MN is between points M and N . As the radius OM traces out a circle, what does that mid point do?
 2 years ago

aroub Group TitleBest ResponseYou've already chosen the best response.0
But if you thought of it, they said that M traces on the outer circle keeping O,N and M collinear so it forms a circle outside?!
 2 years ago

aroub Group TitleBest ResponseYou've already chosen the best response.0
Aooh, wait! phi's answer makes more sense :P So it makes two other circles or just the circle between?
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.1
you put a dab of paint on the "stick" at the point halfway between M and N where is the "smear" as you turn the stick?
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.1
dw:1352054278598:dw
 2 years ago

aroub Group TitleBest ResponseYou've already chosen the best response.0
The "smear" will be between the two circles forming a circle, right?
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.1
yes the radius is the "average" of ON and OM or (ON + OM)/2 which is the same as ON + NM/2
 2 years ago

aroub Group TitleBest ResponseYou've already chosen the best response.0
This was my last question in locus ( I think and I really hope so ) You're amazing, I'm not kidding :P I love how you think of locus! Like in a very simple way and understandable. Thank you soooooooo mucchhh!! :D
 2 years ago
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