In the xy-plane, Circle A is represented by the equation (x−2)2+(y+3)2=1, and Circle B is represented by the equation (x+2)2+(y+5)2=1. Which of the following statements about the two circles is true?Choose 1 answer:(A) Circle B is 2 units to the left of and 2 units below Circle A.(B) Circle B is 2 units to the right of and 2 units above Circle A.(C) Circle B is 4 units to the left of and 2 units below Circle A0.(D) Circle B is 4 units to the right of and 2 units above Circle A.
Q. In the xy-plane, Circle A is represented by the equation (x−2)2+(y+3)2=1, and Circle B is represented by the equation (x+2)2+(y+5)2=1. Which of the following statements about the two circles is true?Choose 1 answer:(A) Circle B is 2 units to the left of and 2 units below Circle A.(B) Circle B is 2 units to the right of and 2 units above Circle A.(C) Circle B is 4 units to the left of and 2 units below Circle A0.(D) Circle B is 4 units to the right of and 2 units above Circle A.
Identify Centers: Identify the centers of Circle A and Circle B by examining their equations.Circle A: (x−2)2+(y+3)2=1Circle B: (x+2)2+(y+5)2=1The center of Circle A is at (2,−3) and the center of Circle B is at (−2,−5).
Compare X-coordinates: Compare the x-coordinates of the centers of Circle A and Circle B to determine their horizontal relative positions.The x-coordinate of Circle A's center is 2, and the x-coordinate of Circle B's center is −2.Circle B is 2−(−2)=4 units to the left of Circle A.
Compare Y-coordinates: Compare the y-coordinates of the centers of Circle A and Circle B to determine their vertical relative positions.The y-coordinate of Circle A's center is −3, and the y-coordinate of Circle B's center is −5.Circle B is −5−(−3)=2 units below Circle A.
Combine Relative Positions: Combine the horizontal and vertical relative positions to determine the correct statement about the positions of Circle A and Circle B.Circle B is 4 units to the left of and 2 units below Circle A.