Languages homework help
Languages homework help. Homework #1 due Thursday January 17 1. Circles C and D meet at points A and B. The tangent to C at A meets D at a point P. Define Q to be any point of D inside C, and let S be the point where line BQ meets C. Prove that AS is parallel to PQ. For any diameter AA” of circle C = (O, r), let C1 = (O1, a) and C2 = (O2, a) be congruent circles, with a < r, that are internally tangent to C at A and A", respectively. On the same side of AA" inside C we draw two more circles (O3, b) and (O4, c) externally tangent to one another and internally tangent to C, with the first circle tangent externally to C1 and the second to C2. Prove that (i) r = a + b + c, and (ii) O3O4 || AA".
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