Question

In the circle, CP=x and PD=y. If xy=28 and AP=2, then what is PB?

Answer 1

we know that
When two chords intersect each other inside a circle, the products of their segments are equal

so
CP*PD=AP*PB
x*y=2*PB-----------> 28=2*PB----------> PB=14

the answer is
PB=14