Which of the following circles have their centers in the second quadrant? Check all that apply. A. (x - 5)2 + (y - 6)2 = 25 B. (x + 1)2 + (y - 7)2 = 16 C. (x - 4)2 + (y + 3)2 = 32 D. (x + 2)2 + (y - 5)2 = 9PLEASE HELP AND EXPLAIN!!!,
Accepted Solution
A:
The given circles are given in standard form: (x - xc)² + (y - yc)² = r²
The second quadrant is the one that has negative x coordinates and positive y coordinates.
This said, let's see all your options: A) (x - 5)² + (y - 6)² = 25 xc = -(-5) = +5 yc = -(-6) = +6 C (5 , 6) is in the first quadrant.
B) (x + 1)² + (y - 7)² = 16 xc = -(+1) = -1 yc = -(-7) = +7 C (-1 , 7) is in the second quadrant.
C) (x - 4)² + (y + 3)² = 32 xc = -(-4) = +4 yc = -(+3) = -3 C (4, -3) is in the fourth quadrant.
D) (x + 2)² + (y - 5)²= 9 xc = -(+2) = -2 yc = -(-5) = +5 C (-2 , +5) is in the second quadrant.