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Author Topic: Points of intersection of two circles?  (Read 805 times)  Share 

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BubbleWrapMan

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Points of intersection of two circles?
« on: November 27, 2010, 02:28:32 pm »
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What's the easiest way to do this, if given the equations of the two circles?

For example

(x-5)^2 + (y-7)^2 = 25
(x-15/2)^2 + (y-19/2)^2 = 25/2
Tim Koussas -- Co-author of ExamPro Mathematical Methods and Specialist Mathematics Study Guides, editor for the Further Mathematics Study Guide.

Current PhD student at La Trobe University.

taiga

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Re: Points of intersection of two circles?
« Reply #1 on: November 27, 2010, 03:11:26 pm »
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Expand it all out and bring everything to the same side. Then make the two equations equal eachother :D
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BubbleWrapMan

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Re: Points of intersection of two circles?
« Reply #2 on: November 27, 2010, 03:17:21 pm »
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That's really the easiest way? If I do y = y then it takes a whole page of working.
Tim Koussas -- Co-author of ExamPro Mathematical Methods and Specialist Mathematics Study Guides, editor for the Further Mathematics Study Guide.

Current PhD student at La Trobe University.

taiga

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Re: Points of intersection of two circles?
« Reply #3 on: November 27, 2010, 03:39:42 pm »
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Calculator, otherwise there isnt any way as far as I see it
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BubbleWrapMan

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Re: Points of intersection of two circles?
« Reply #4 on: November 27, 2010, 03:46:57 pm »
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I guess they wouldn't expect you to do it by hand then?
Tim Koussas -- Co-author of ExamPro Mathematical Methods and Specialist Mathematics Study Guides, editor for the Further Mathematics Study Guide.

Current PhD student at La Trobe University.

taiga

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Re: Points of intersection of two circles?
« Reply #5 on: November 27, 2010, 03:49:07 pm »
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I guess they wouldn't expect you to do it by hand then?

Highly unlikely :P
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BubbleWrapMan

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Re: Points of intersection of two circles?
« Reply #6 on: November 27, 2010, 03:55:50 pm »
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Brilliant. :P
Tim Koussas -- Co-author of ExamPro Mathematical Methods and Specialist Mathematics Study Guides, editor for the Further Mathematics Study Guide.

Current PhD student at La Trobe University.