The question states:
P is at a constant distance of two units from the point (3,5). Find the cartesian equation of the locus of the set of points P in each case.
To solve this I drew it out, but I do not know what they mean by a 'constant distance of two units'. So at first I made it with the coordinates (5,y) as i added 2 to the point (3,5), but it didn't work so now i don't know what to do.
Please help.
It's simply a circle of centre $C(3,5)$ and radius $r=2$, so the equation becones: $$(x-3)^2+(y-5)^2=4$$