1. ## 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

2. ## Re: two cicles problem

Originally Posted by kingman
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
Maybe you should restate this question so that it makes sense. For a start, you don't say anything about where A and B are. Also, you first say that P is on the smaller circle and then you say that P is on the larger circle.

3. ## 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

4. ## Re: two cicles problem

Originally Posted by kingman
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
That is a small improvement, but you sill have not said where the point B is. From the information given, B could be anywhere on the line BS. Unless you know something more about B, you cannot say anything about where R is, so there is no possibility of proving (b).