The question states:
Prove that a necessary and sufficient condition for a point to be represented by the same number-pair (a,b) both cartesian and polar coordinates is that it lies on the initial line.
I do not want answers to the question, I just want some guidance towards the question, since I'm confused with what it is asking.
- By same number-pair, does it mean a=b?
- Lies on the initial line?
I'm confused by both of these statements, can somebody provide some hints or help to this question?