Mathematics, 29.08.2021 15:00 tdyson3p6xvtu

Let AB be a diameter of circle K with centre 0. Choose a point P exterior to K on the line through A and B and construct the tangents to K through
P, meeting K at X and Y. Let M be the intersection of AB and XY.
Prove that the tangents to K are also tangent to both the circle with centre
A and radius AM and the circle with centre B and radius BM.

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Let AB be a diameter of circle K with centre 0. Choose a point P exterior to K on the line through...

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