How do you determine a point in common of #r = 1 + cos theta# and #r = 2 cos theta#?
1 Answer
(2, 0) and r = 0.
Explanation:
The two meet when
Therein,
The first equation
for
The second
at (1,0) and the whole circle is drawn for
Interestingly, seemingly common point r=0 is not revealed here.
The reason is that,,
for
and for
Thus the polar coordinate
This disambiguation is important to include, as we see, r = 0 as a
common point that is reached in different directions.
This is a reason for my calling r = 0 a null vector that has contextual
direction.