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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
Member
Registered: 2013-03-09
Posts: 957

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
Member
Registered: 2015-12-15
Posts: 631

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
Member
Registered: 2013-03-09
Posts: 957

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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