find the equation of a circle through (0,5),(3,4), touching the line y+5=0.

Question

anonymous · Answer

@texaschic101  @AlexandervonHumboldt2

anonymous · Answer

i will give medal and fan

rational · Answer

you can guess it easily, try : 
$$\large  x^2+y^2 = 5^2$$

anonymous · Answer

how did you get that?

rational · Answer

the point (0, 5) and tangent line y = -5 forces the center to be (0, 0)

if you remember the pythagorean triple (3, 4, 5), it is not hard to see that the radius has to be 5

anonymous · Answer

yup, thats the one answer there

anonymous · Answer

i think there's one more answer for this

rational · Answer

plugin the given point in above equation and see if it checks out

anonymous · Answer

i have the other answer here, in the textbook, but i dont know how to solve it

anonymous · Answer

$$(x-60)^2+(y-180)^2=(185)^2$$

anonymous · Answer

how did they get this?

rational · Answer

that looks interesting now

geerky42 · Answer

It seems that there is two possible circles that satisfy the given conditions. |dw:1429031541969:dw|

geerky42 · Answer

|dw:1429031616348:dw|
or other extremely large circle|dw:1429031643377:dw|