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aceace

  • 2 years ago

A is a point where the circle with equation x^2 + y^2=16 cuts the x-axis. Find the locus of the midpoints of all chords of this circle that contain the point A.

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  1. aceace
    • 2 years ago
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    @nincompoop could you please take a look at this question please

  2. abb0t
    • 2 years ago
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    @nincompoop

  3. Jonask
    • 2 years ago
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    abviously A is either (4,0) or (-4,0)

  4. aceace
    • 2 years ago
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    there are more chords than that aren't there?

  5. Mertsj
    • 2 years ago
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    |dw:1359155094295:dw|

  6. Mertsj
    • 2 years ago
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    Looks to me like it's a circle with center (-4,0) and radius 2

  7. aceace
    • 2 years ago
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    but how do you work it out?

  8. Jonask
    • 2 years ago
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    so we define the locus \[y^2+(x+4)^2=4\]

  9. Mertsj
    • 2 years ago
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    radius 4.

  10. Mertsj
    • 2 years ago
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    Sorry

  11. Jonask
    • 2 years ago
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    but all the lines are not equal

  12. Mertsj
    • 2 years ago
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    What does that have to do with anything?

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