Consider a circle and a point P outside of the circle. Draw a line through P tha

Question

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

Explanation / Answer

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.

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