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Find All Points of Intersection of the Graphs of the Equations

Question 77

Multiple Choice

Find all points of intersection of the graphs of the equations. r=1+sinθr=3sinθ\begin{array} { l } r = 1 + \sin \theta \\r = 3 \sin \theta\end{array}


A) (32,π6) ,(32,π6) ,(0,0) \left( \frac { 3 } { 2 } , \frac { \pi } { 6 } \right) , \left( \frac { 3 } { 2 } , - \frac { \pi } { 6 } \right) , ( 0,0 )
B) (332,π6) ,(332,π6) ,(0,0) \left( \frac { 3 \sqrt { 3 } } { 2 } , \frac { \pi } { 6 } \right) , \left( \frac { 3 \sqrt { 3 } } { 2 } , - \frac { \pi } { 6 } \right) , ( 0,0 )
C) (32,π3) ,(32,π3) ,(0,0) \left( \frac { 3 } { 2 } , \frac { \pi } { 3 } \right) , \left( \frac { 3 } { 2 } , \frac { \pi } { 3 } \right) , ( 0,0 )
D) (32,π6) ,(32,5π6) ,(0,0) \left( \frac { 3 } { 2 } , \frac { \pi } { 6 } \right) , \left( \frac { 3 } { 2 } , \frac { 5 \pi } { 6 } \right) , ( 0,0 )
E) (332,π3) ,(332,π3) ,(0,0) \left( \frac { 3 \sqrt { 3 } } { 2 } , \frac { \pi } { 3 } \right) , \left( \frac { 3 \sqrt { 3 } } { 2 } , \frac { \pi } { 3 } \right) , ( 0,0 )

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