Question

which of the following circles have their centers in second quadrant? check all that apply. a. (x-5)^2 + (y-6)^2=25 b. (x+2)^2 + (y-5)^2=9 c. (x+1)^2 + (y-7)^2=16 d.(x-4)^2 + (y+3)^2=32

Answer 1

Answer:

The options are (b) and (c)

Step-by-step explanation:

The circle is all the points (x, y) that are "r" away from the center (a, b).

The equation of a circle is

(x - a)² + (y - b)² = r²  

~~~~~~~~~~~~~

(a). (x - 5)² + (y - 6)² = 25 , coordinates of the center of the circle are (5, 6) ∈ $1^{st}$ quadrant.

(b). (x + 2)² + (y - 5)² = 9 , coordinates of the center of the circle are (- 2, 5) ∈ $2^{nd}$ quadrant.

(c). (x + 1)² + (y - 7)² = 16 , coordinates of the center of the circle are (- 1, 7) ∈ $2^{nd}$ quadrant.

(d). (x - 4)² + (y + 3)² = 32 , coordinates of the center of the circle are (4, - 3) ∈ $4^{th}$ quadrant.