Sum of squares of coordinates equals 9

[aisha]

For any point of a locus, the sum of the squares of the coordinates is 9 determine the equation of the locus. And draw a diagram.

I can only think of the obvious x^2+y^2=9 ?

Can someone please help me quick!

 

[whozum]

Thats correct.

 

[aisha]

are you sure? What should the diagram look like? I have a circle with a line called r for the radius and a point on the circle labelled P(x,y) and the center (0,0) that's it? What else?

 

[Data]

Circle of radius 3 centered at the origin, of course.

 

[whozum]

Can you think of any point whos coordinates squared don't lie on that line?

We can get into a whole bunch of trig to prove it if you'd like :)

 

[aisha]

ok I hope this answer is correct I am going to submit it. OK OK I BELIEVE U THANKS SOO MUCH last assignment question seemed cheezy just wanted to make sure b4 i handed it in thanks soo much