Consider a circle and a point P outside of the circle Draw a

Consider a circle and a point P outside of the circle. Draw a line through P that intersects the circle at two points X and Y. The measurements are PX-2 and PY-9. Which of the following is TRUE? It is possible to draw another line through P, intersecting the circle at two points Z and W, such that PZ-3 and PW 6 If we draw a tangent line to the circle through P with tangent point U. Furthermore, PU-4.5. It is possible to draw another line through P, intersecting the circle at two points Z and W, such that PZ-4 and PW 5. All of the above 25

Solution

Using property of secant

It can be inferred that

It is possible to draw another line through P, intersecting the circle at two points Z and W such that PZ=3 and PW=6.

Because PZ×PW=PX×PY.