Find the polar coordinates of the point(s) of intersection of the given curves for 0 ≤ θ

Question

Find the polar coordinates of the point(s) of intersection of the given curves for 0 ≤ θ < 2π.
-$$\mathrm { r } = 7 + \cos \theta , \mathrm { r } = 7 - \sin \theta$$
A) $\left( 7 , \frac { 3 \pi } { 4 } \right) , \left( 7 , \frac { 7 \pi } { 4 } \right)$
B) $\left( \frac { 13 } { 2 } , \frac { 3 \pi } { 4 } \right) , \left( \frac { 15 } { 2 } , \frac { 7 \pi } { 4 } \right)$
C) $\left( 7 + \frac { 1 } { \sqrt { 2 } } , \frac { 3 \pi } { 4 } \right) , \left( 7 - \frac { 1 } { \sqrt { 2 } } , \frac { 7 \pi } { 4 } \right)$
D) $\left( 7 - \frac { 1 } { \sqrt { 2 } } , \frac { 3 \pi } { 4 } \right) , \left( 7 + \frac { 1 } { \sqrt { 2 } } , \frac { 7 \pi } { 4 } \right)$

Quizplus · Accepted Answer

The Answer of Find the polar coordinates of the point(s) of intersection of the given curves for 0 ≤ θ < 2π.
-$$\mathrm { r } = 7 + \cos \theta , \mathrm { r } = 7 - \sin \theta$$
A) $\left( 7 , \frac { 3 \pi } { 4 } \right) , \left( 7 , \frac { 7 \pi } { 4 } \right)$
B) $\left( \frac { 13 } { 2 } , \frac { 3 \pi } { 4 } \right) , \left( \frac { 15 } { 2 } , \frac { 7 \pi } { 4 } \right)$
C) $\left( 7 + \frac { 1 } { \sqrt { 2 } } , \frac { 3 \pi } { 4 } \right) , \left( 7 - \frac { 1 } { \sqrt { 2 } } , \frac { 7 \pi } { 4 } \right)$
D) $\left( 7 - \frac { 1 } { \sqrt { 2 } } , \frac { 3 \pi } { 4 } \right) , \left( 7 + \frac { 1 } { \sqrt { 2 } } , \frac { 7 \pi } { 4 } \right)$

Find the Polar Coordinates of the Point(s) of Intersection of the Given