Hello, delpin!

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 pointY?

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 pointC?