A deer wants to save her life from a lion. The lion follows a path whose equation is $x^2+y^2=16$ . For saving life, the deer moves on the path whose equation is/are ?

Question

mathslover · Answer

Please refresh the page friends. I have done some editing.

parthkohli · Answer

A path that does not intersect with $x^2 + y^2 = 16$, right?

parthkohli · Answer

By observation, this is just a circle with radius $4$ and center $(0,0)$. So we can simply write down the equation of the vertical line $x = 5$, and voila!

parthkohli · Answer

$y = 5$, the horizontal line, works too.

mathslover · Answer

$x^2+y^2 = 16$ would form a circle with radius 4 units, centered at origin.

parthkohli · Answer

Yup.

mathslover · Answer

Yeah! I can also draw a circle with small radius : 

$x^2 + y^2 = 4$ ..

parthkohli · Answer

So the equation $x = 5$ works, and so does $y = 5$ :-)

mathslover · Answer

or just greater radius $x^2 + y^2 -64 =0 $ 

or $x^2 + y^2 = 64$ 

Thanks @ParthKohli |dw:1364056657331:dw|

mathslover · Answer

well i just imagine, it would be so funny.. a lion moving round a circle and similarly a deer moving round a smaller circle1

parthkohli · Answer

Indeed.

parthkohli · Answer

lol

mathslover · Answer

Oh! It would be so idiotic ... for the lion... 

(: . Thanks @ParthKohli .

parthkohli · Answer

Robotic lions who don't apply their intelligence and use the concept of scattering are rare. :-P

mathslover · Answer

:-P mainly found in Gir... ;)

parthkohli · Answer

lol, do you have any more questions today? I have to go to sleep early today, but I'd delay mine because of your questions.

They are pretty interesting :-P

mathslover · Answer

:-P mechanics questions are always interesting. Well, I have but I am doing them currently. You go to sleep better. It would take time. Have a great day!

mathslover · Answer

^ night!