ρ

get

ρ^2=ρcosθ+ρsinθ

, so it is converted into rectangular coordinate equation as follows

x^2+y^2=x+y

Formula can get the center of the circle (1/2, 1/2) and radius.

r=√2/2

The linear equation can be simplified as

3x+4y+ 1=0

So the distance from the center of the circle to the straight line is

d = | 3/2+4/2+ 1 |/√( 9+ 16)= 9/ 10

because

d & gtr

So straight lines and circles are separated.