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

Question 51

Multiple Choice

Find the polar coordinates of the point(s) of intersection of the given curves for 0 0θ<2π0 \leq \theta < 2 \pi \text {. }
- r=3+cosθ,r=3sinθ\mathrm { r } = 3 + \cos \theta , \mathrm { r } = 3 - \sin \theta


A) (52,3π4) ,(72,7π4) \left( \frac { 5 } { 2 } , \frac { 3 \pi } { 4 } \right) , \left( \frac { 7 } { 2 } , \frac { 7 \pi } { 4 } \right)
B) (3+12,3π4) ,(312,7π4) \left( 3 + \frac { 1 } { \sqrt { 2 } } , \frac { 3 \pi } { 4 } \right) , \left( 3 - \frac { 1 } { \sqrt { 2 } } , \frac { 7 \pi } { 4 } \right)
C) (3,3π4) ,(3,7π4) \left( 3 , \frac { 3 \pi } { 4 } \right) , \left( 3 , \frac { 7 \pi } { 4 } \right)
D) (312,3π4) ,(3+12,7π4) \left( 3 - \frac { 1 } { \sqrt { 2 } } , \frac { 3 \pi } { 4 } \right) , \left( 3 + \frac { 1 } { \sqrt { 2 } } , \frac { 7 \pi } { 4 } \right)

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