Two circles of radius 1 cm touch at poin...

Two circles of radius 1 cm touch at point P. A third circle is drawn through the points A, B and C such that PA is the diameter of the first circle and BC perpendicular to AP is the diameter of the second circle. The radius of the third circle in cm.

`(9)/(5)`

`(5)/(3)`

`(sqrt(10))/(2)`

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