Immediate HELP For any point A(x,y) of a locus

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Homework Help Overview

The discussion revolves around determining the equation of a locus defined by the condition that the sum of the squares of its coordinates equals 9. Participants are exploring the implications of this condition in the context of geometry.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the equation x^2 + y^2 = 9 as a potential representation of the locus and consider its geometric interpretation, specifically questioning the characteristics of the diagram associated with it.

Discussion Status

Some participants confirm the equation and discuss the properties of the locus, while others question the completeness of the diagram and the representation of points on the locus. There is a mix of agreement and exploration of further details.

Contextual Notes

Participants are working under the constraints of a homework assignment and are seeking validation of their understanding before submission. There is a mention of potential trigonometric considerations related to the problem.

aisha
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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!
 
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Thats correct.
 
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?
 
Circle of radius 3 centered at the origin, of course.
 
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 :)
 
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
:smile:
 
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