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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.

Respuesta :

Answer: 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

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