Answer:
B. (PQ)² = (PR)(PS)
Explanation:
You want the relationship between tangent PQ and the segments of secant PS.
Secant relation
The product of the secant lengths between the point P where it meets the tangent and the two point R and S where it intersects the circle is equal to the square of the tangent from point P.
The relationship is ...
(PQ)² = (PR)(PS)
__
Additional comment
You can eliminate choices C and D because they do not involve segments of PS.
If M is the midpoint of RS, choice A says PQ=PM. Actually PQ < PM, which is clear when RS is a diameter of the circle. This leaves only choice B.
<95141404393>