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  • DLS

Let C be the circle with centre(0,0) ,radius=3units..The eq.of locus of midpoints of the chords of the circle that substend an angle 2pi/3 at centre=?

Mathematics
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your question is misleading ... try to elaborate a bit.
  • DLS
what ismissing?
Maybe a diagram?

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Other answers:

I'm actually not certain.
  • DLS
not given
oh!! that would be crystal clear. Are the midpoints of chords subtending 2pi/3 at center?
|dw:1357461802327:dw| something like this ?
|dw:1357461806933:dw| distance between (h,k) and center = 3 co60
  • DLS
  • DLS
how did we get pi/3?
|dw:1357461957504:dw| so that'd be half of it,ofcorse.. you can relate this from the fact that both right triangles are congruent..
  • DLS
explain that r=Rcos30 thing :S
|dw:1357461938365:dw|
@@experimentX you misunderstood. it says the locus of mid points of all those chords, which subtend angle 2pi/3 at center the chord subtends angle 2pi/3 at the center..
|dw:1357462092588:dw|
  • DLS
|dw:1357462129634:dw|
  • DLS
R=3 given
  • DLS
|dw:1357462305603:dw|
  • DLS
didnt get why r=Rcos30
|dw:1357462348001:dw|
  • DLS
then?
your equation will be a circle with center at 0,0 ... just find the radius using trigonometry.
|dw:1357471539024:dw|
As @experimentX said use trigonometry to find OM
Then find the equation of the circle with center O and radius=OM
  • DLS
Last thing,what will be the radius of the circle(i.e locus) of midpoint of chords?OM?why?
|dw:1357497953902:dw|
  • DLS
R=3cos 60 yeah ive got that
  • DLS
Is R^2=27/4?
  • DLS
and what is the radius of the locus :/

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