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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.
- r=7+cosθ,r=7sinθ\mathrm { r } = 7 + \cos \theta , \mathrm { r } = 7 - \sin \theta


A) (7,3π4) ,(7,7π4) \left( 7 , \frac { 3 \pi } { 4 } \right) , \left( 7 , \frac { 7 \pi } { 4 } \right)
B) (132,3π4) ,(152,7π4) \left( \frac { 13 } { 2 } , \frac { 3 \pi } { 4 } \right) , \left( \frac { 15 } { 2 } , \frac { 7 \pi } { 4 } \right)
C) (7+12,3π4) ,(712,7π4) \left( 7 + \frac { 1 } { \sqrt { 2 } } , \frac { 3 \pi } { 4 } \right) , \left( 7 - \frac { 1 } { \sqrt { 2 } } , \frac { 7 \pi } { 4 } \right)
D) (712,3π4) ,(7+12,7π4) \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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