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

question 12

Multiple Choice

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) \(\left( 7 - \frac { 1 } { \sqrt { 2 } } , \frac { 3 \pi } { 4 } \right) , \left( 7 + \frac { 1 } { \sqrt { 2 } } , \frac { 7 \pi } { 4 } \right)\)

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