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- Sep 19th 2011, 02:27 AM #1

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## two cicles problem

Dear Sir ,

I would be grateful if someone can help me in the below problem.

Part a I can prove it ; only part b the last part of the question I need help.

Thanks

2 circles touch at T. The line AQP touches the circles at Q and P and the line AP touches the smaller circle at P. R is the midpoint of BQ. The larger circle has centre O with SP as the diameter. The line BS touches the longer circle at S. BS is parallel to QP.

a) Prove that Triangle PST is similar to Triangle QSP.

b) Hence of otherwise show that SP=SR

- Sep 20th 2011, 01:00 PM #2
## Re: two cicles problem

- Sep 20th 2011, 06:34 PM #3

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## Re: two cicles problem

Sorry for my bad editing ;the amended question is found below.

2 circles touch at T. The line AQP touches the circles at point Q and point P and the line AP touches the bigger circle at P. R is the midpoint of BQ. The larger circle has centre O with SP as the diameter. The line BS touches the larger circle at S. BS is parallel to QP.

a) Prove that Triangle PST is similar to Triangle QSP.

b) Hence of otherwise show that SP=SR

- Sep 22nd 2011, 12:27 AM #4
## Re: two cicles problem