That is a very interesting hard drive, to have both a SATA power connector and a Molex style connector that PATA hard drives have.
But your question is like asking how do you contact somebody when they have two different email addresses? Try one or try the other. In this case i'd suggest perhaps not to try both unless(If you find that each don't work alone., then you're better off taking your drive to a data recovery place)
What if you power it up with either PATA or SATA?
You could try powering it with the PATA power and the SATA data. Or with the SATA power and SATA data.
i.e. you make sure it's got power and that the data is connected.