Question

Does anyone mind helping me please?

Answer 1

no

Explanation:

Calculate the distance d between the centre and the given point.

If the distance between the points is 4 then it lies on the circle.

Using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (9, 0 )

d =
`√((9-5)^2+(0-4)^2)`

=
`√(4^2+(-4)^2)`

=
`√(16+16)`

=
`√(32)`

= 4
`√(2)` ≠ 4

Since 4
`√(2)` > 4 then (0, 9) lies outside the circle, not on the circumference

Answer 2

Yes, Its center at (5,4) and a radius of 4 units. Does the point (9,0) lie on the circumference of circle F.