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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#1 2016-04-23 01:10:32

Nehushtan
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Registered: 2013-03-09
Posts: 905
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Simple exercises

I posted this in another thread but here it is for anyone who might wish to have a go.

 
 
 
 

Last edited by Nehushtan (2016-04-23 03:01:36)


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#2 2016-04-23 03:12:02

Relentless
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Registered: 2015-12-15
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Re: Simple exercises

Hi! (:

Last edited by Relentless (2016-04-23 03:17:41)

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#3 2016-04-23 03:58:58

Nehushtan
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Registered: 2013-03-09
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Re: Simple exercises

#2. Two circles of radii r and s intersect at two points such that at each point of intersection the tangents to the circles are mutually perpendicular. Show that the centres of the circles and the points of intersection lie on a third circle, and find the radius of this circle.


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