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tmua.me Medium Set D Paper 2 · Q5

Paper 2Geometry

The lines PAPA and PBPB are tangents to a circle with centre OO, touching it at AA and BB. The point MM is the midpoint of the chord ABAB.

PA=PB=10,AB=12.PA=PB=10,\qquad AB=12.

What is the radius of the circle?

Diagram for question 5

A154\dfrac{15}{4}
B66
C152\dfrac{15}{2}
D88
E403\dfrac{40}{3}
F1515

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