Determine two pairs of polar coordinates for the point with 0° ≤θ

Question

Determine two pairs of polar coordinates for the point with 0° ≤θ < 360°.
-$( - 5 \sqrt { 2 } , - 5 \sqrt { 2 } )$
A) $\left( 10,225 ^ { \circ } \right) , \left( - 10,45 ^ { \circ } \right)$
B) $\left( 5 \sqrt { 2 } , 225 ^ { \circ } \right) , \left( - 5 \sqrt { 2 } , 45 ^ { \circ } \right)$
C) $\left( 10,135 ^ { \circ } \right) , \left( - 10,225 ^ { \circ } \right)$
D) $\left( 5 \sqrt { 2 } , 135 ^ { \circ } \right) , \left( - 5 \sqrt { 2 } , 225 ^ { \circ } \right)$

Quizplus · Accepted Answer

The Cartesian coordinates $(-5\sqrt{2}, -5\sqrt{2})$ correspond to a point in the third quadrant. The polar coordinates are $(10, 225^\circ)$ for a positive radius and $(-10, 45^\circ)$ for a negative radius.

Determine Two Pairs of Polar Coordinates for the Point with 0°