1. Convert the rectangular coordinates (5,−5√3) to polar form. Let r>0 and 0≤θ<2π .
Enter your answer (_,_). Enter coordinates as simplified fractions or radicals in simplest form.
2. p and q are complex numbers such that |p|=7√2 and |p+q|=12√3 .
On what interval must |q| fall on?
A [7√6/24,∞)
B [12√3−7√2,∞)
C [12√3+7√2,∞)
D [4√6/7,∞)
