Which of the following points is not on the circle represented by the equation (x − 3)2 + (y + 4)2 = 25? a. (6, 0) b. (−1, −1) c. (4, 1) d. none of these is on the circle.

C. (4, 1)

To answer this question, you just need to put the coordinate value into the equation. The equation of the circle is (x − 3)^2 + (y + 4)^2 = 25


A. (6, 0)
x=6
y=0

(x − 3)^2 + (y + 4)^2 = 25
(6 − 3)^2 + (0 + 4)^2 = 25
(3)^2 + (4)^2 = 25
9+16=25
25=25 > true

B. (-1, -1)
x=-1
y=-1

(x − 3)^2 + (y + 4)^2 = 25
(-1 − 3)^2 + (-1 + 4)^2 = 25
(-4)^2 + (3)^2 = 25
16+9=25
25=25 > true

C. (4, 1)
x=4
y=1

(x − 3)^2 + (y + 4)^2 = 25
(4 − 3)^2 + (1 + 4)^2 = 25
(1)^2 + (5)^2 = 25
1+25=25
26=25 > false

Where’s the