DLS
  • 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
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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experimentX
  • experimentX
your question is misleading ... try to elaborate a bit.
DLS
  • DLS
what ismissing?
IsTim
  • IsTim
Maybe a diagram?

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IsTim
  • IsTim
I'm actually not certain.
DLS
  • DLS
not given
experimentX
  • experimentX
oh!! that would be crystal clear. Are the midpoints of chords subtending 2pi/3 at center?
hartnn
  • hartnn
|dw:1357461802327:dw| something like this ?
shubhamsrg
  • shubhamsrg
|dw:1357461806933:dw| distance between (h,k) and center = 3 co60
DLS
  • DLS
@experimentX yes
DLS
  • DLS
how did we get pi/3?
shubhamsrg
  • shubhamsrg
|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
  • DLS
explain that r=Rcos30 thing :S
experimentX
  • experimentX
|dw:1357461938365:dw|
shubhamsrg
  • shubhamsrg
@@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..
experimentX
  • experimentX
|dw:1357462092588:dw|
DLS
  • DLS
|dw:1357462129634:dw|
DLS
  • DLS
R=3 given
DLS
  • DLS
|dw:1357462305603:dw|
DLS
  • DLS
didnt get why r=Rcos30
experimentX
  • experimentX
|dw:1357462348001:dw|
DLS
  • DLS
then?
experimentX
  • experimentX
your equation will be a circle with center at 0,0 ... just find the radius using trigonometry.
anonymous
  • anonymous
|dw:1357471539024:dw|
anonymous
  • anonymous
As @experimentX said use trigonometry to find OM
anonymous
  • anonymous
Then find the equation of the circle with center O and radius=OM
DLS
  • DLS
Last thing,what will be the radius of the circle(i.e locus) of midpoint of chords?OM?why?
experimentX
  • experimentX
|dw:1357497953902:dw|
DLS
  • DLS
R=3cos 60 yeah ive got that
DLS
  • DLS
Is R^2=27/4?
DLS
  • DLS
and what is the radius of the locus :/

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