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In the figure PQr is a semicircle while PQ and ... - JAMB Mathematics 1992 Question

In the figure, PQr is a semicircle while PQ and Qr are chords. QS is the perpendicular from Q to the diameter PR. What is the expression for QS?
A
QS = PS\(\sqrt{SR}\)
B
QS = \(\sqrt{(PS SR)}\)
C
QS = 2\(\sqrt{(PS SR)}\)
D
QS = \(\frac{1}{\sqrt{2}}\)\(\sqrt{(PS SR)}\)
correct option: b
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