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?
Attached Figure / Diagram
A
QS = PS\(\sqrt{SR}\)
B
QS = \(\sqrt{(PS SR)}\)
C
QS = 2\(\sqrt{(PS SR)}\)
D
QS = \(\frac{1}{\sqrt{2}}\)\(\sqrt{(PS SR)}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #32986)