If no one is responding, it's because we don't understand the problem.
Points A(0,0) B(4,0) C(0,3) and P(x,y)
Difference between PY and PA is 6.6 . Where is point Y ?
Treating A and B as the foci of the hyperbola what is the equation?
More specifically, the question asks to determine the values necessary to deduce the equation.
If PB - PA = 6.6, there is enough information to determine the hyperbola.
. . Then what is the purpose of point C?