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# Geometry 10

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Joined: 19 Aug 2009
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Geometry 10 [#permalink]  02 Oct 2009, 10:40
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Q.
PP' & QQ' are 2 direct common tangents to 2 circles intersecting at points A and B. The common chord on extended intersects PP' in R & QQ' in S.Which of the following is true?

a. RA^2+BS^2=AB^2
b. RS^2=PP'^2+ AB^2
C. RS^2=PP'^2+ QQ'^2
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Joined: 30 Sep 2009
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Re: Geometry 10 [#permalink]  04 Oct 2009, 19:13
b is true. check it with some easy cases, such as two circles with the same radius that pass through each other's centers, or two circles with the same radius that touch at one point (A=B)
Re: Geometry 10   [#permalink] 04 Oct 2009, 19:13
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