Question

A circle is tangent to the x-axis and the line y=6. Which equation could descibe the circle?

(x-6)^2+(y-3)^2=6

(x-5)^2+(y-3)^2=9

(x-1)^2+(y+3)^2=6

(x+3)^2+(y-6)^2=9

(x+9)^2+(y+6)^2=36

Answer 1

see it is tangent to y=6 and x=0 so it's diameter must be 6 and radius =3 whose square is 9

Answer 2

which equation is it?

Answer 3

it has two possibilities either equation B or equation D but

Answer 4

but coordinate of radius can't be y=6..therefore it's B...see you can do it without solving

Answer 5

thnx for helping!

Answer 6

:)