Question

If the equation of a circle is (x + 4)2 + (y - 6)2 = 25, its center point is

(4, 6)
(-4, 6)
(4, -6)

Answer 1

(x - h)² + (y - k)² = 25
(x - (-4))² + (y + (-6))² = 25
(x + 4)² + (y - 6)² = 25

(h, k) = (-4, 6)

The answer is B.

Answer 2

center of the circle is (-4,6)

Second option is correct.

Explanation:

The given equation of circle is
`(x+4)^2+(y-6)^2=25`

The general form of a circle is given by the equation

`(x-h)^2+(y-k)^2=r^2`

Here (h,k) is the center and r is the radius.

On comparing the equation with this general form, we get

h = -4, k = 6

Therefore, the center of the circle is (-4,6)

Second option is correct.