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DLS

  • 2 years ago

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=?

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  1. experimentX
    • 2 years ago
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    your question is misleading ... try to elaborate a bit.

  2. DLS
    • 2 years ago
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    what ismissing?

  3. IsTim
    • 2 years ago
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    Maybe a diagram?

  4. IsTim
    • 2 years ago
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    I'm actually not certain.

  5. DLS
    • 2 years ago
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    not given

  6. experimentX
    • 2 years ago
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    oh!! that would be crystal clear. Are the midpoints of chords subtending 2pi/3 at center?

  7. hartnn
    • 2 years ago
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    |dw:1357461802327:dw| something like this ?

  8. shubhamsrg
    • 2 years ago
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    |dw:1357461806933:dw| distance between (h,k) and center = 3 co60

  9. DLS
    • 2 years ago
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    @experimentX yes

  10. DLS
    • 2 years ago
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    how did we get pi/3?

  11. shubhamsrg
    • 2 years ago
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    |dw:1357461957504:dw| so that'd be half of it,ofcorse.. you can relate this from the fact that both right triangles are congruent..

  12. DLS
    • 2 years ago
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    explain that r=Rcos30 thing :S

  13. experimentX
    • 2 years ago
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    |dw:1357461938365:dw|

  14. shubhamsrg
    • 2 years ago
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    @@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..

  15. experimentX
    • 2 years ago
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    |dw:1357462092588:dw|

  16. DLS
    • 2 years ago
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    |dw:1357462129634:dw|

  17. DLS
    • 2 years ago
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    R=3 given

  18. DLS
    • 2 years ago
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    |dw:1357462305603:dw|

  19. DLS
    • 2 years ago
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    didnt get why r=Rcos30

  20. experimentX
    • 2 years ago
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    |dw:1357462348001:dw|

  21. DLS
    • 2 years ago
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    then?

  22. experimentX
    • 2 years ago
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    your equation will be a circle with center at 0,0 ... just find the radius using trigonometry.

  23. sauravshakya
    • 2 years ago
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    |dw:1357471539024:dw|

  24. sauravshakya
    • 2 years ago
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    As @experimentX said use trigonometry to find OM

  25. sauravshakya
    • 2 years ago
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    Then find the equation of the circle with center O and radius=OM

  26. DLS
    • 2 years ago
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    Last thing,what will be the radius of the circle(i.e locus) of midpoint of chords?OM?why?

  27. experimentX
    • 2 years ago
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    |dw:1357497953902:dw|

  28. DLS
    • 2 years ago
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    R=3cos 60 yeah ive got that

  29. DLS
    • 2 years ago
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    Is R^2=27/4?

  30. DLS
    • 2 years ago
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    and what is the radius of the locus :/

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