5. A circle has centre O and diameter AB = 2√19. Points C and D are on the upper half of the circle. A line is drawn through C and D, as shown. Points P and Q are on the line so that AP and BQ are both perpendicular to PQ. QB intersects the circle at R. If CP = DQ = 1 and 2AP = BQ, what is the length of AP? PC 0 R B

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