Help eqns of locus

  • Thread starter aisha
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  • #1
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CHECK PLZ HELP a little

Determine the equation of the following locus.

1)-Locus of points that are 10 units from the origin.
x^2+y^2=100?

2-The points 3 units from the circumference of the circle with centre (0, 0) and radius 5 units
What does the 3 units from the circumference mean? is the equation x^2+y^2=25?

Are these two correct Im not sure about the second one?
 
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Answers and Replies

  • #2
584
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HELP! are my answers correct? :cry:
 
  • #3
998
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What does the 3 units from the circumference mean?

it means 3 units from the circle. The question asks for the set of points a distance of three units from the circle defined by [itex] x^2 +y^2 = 25[/itex].
 
  • #4
584
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[tex] x^2+y^2=8^2?[/tex] since the radius is 5+3?
 
  • #5
998
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That's half of it.

Here's a hint: think INside the box (or in this case, the circle!)
 
  • #6
584
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and another locus is x^2+y^2=2^2

I should simplify both of these to 4 and 64 right?
 
  • #7
998
0
Yep, that's fine~
 

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