Question

Which point lies on a circle with a radius of 5 units and center at P(6, 1)?

Answer 1

Q(1, 11)


R(2, 4)


S(4, -4)


T(9, -2)

Answer 2

possible answers

Answer 3

The general equation of a circle is: (x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius.
Find the equation of the circle first and try each answer to find the equation that satisfies.

Answer 4

im completely lost
lol

Answer 5

The center is (6,1). Therefore, h = 6, y = 1.
The radius r is given as 5.
So the equation of the circle is: (x - 6)^2 + (y - 1)^2 = 5^2 = 25
To see if the first choice, Q(1, 11), is on the circle, substitute x = 1, y = 11 in
(x - 6)^2 + (y - 1)^2 = 25 and see if it satisfies the equation. If not, try the next choice.

Answer 6

h = 6, k = 1