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1. recall that the Intersecting Secants Property states that if two secants AB and CD intersect at an external point P, then PA x PB = PC x PD. well, i need to modify this theorem so that one of the secants turns into a tangent and derive a new theorem. any ideas?

2. Two circles of unequal radii intersect in X and Y. AXB is any line drawn through X meeting the circumferences again in A and B. Prove that ∠AYB remains the same size regardless of the position of AXB.

i simply need setting up the diagram for this. the instructions are somewhat hard to follow.

thanx in advance.