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Circle problem

  • #1

Homework Statement



Find the equation of the circle which intersects the x-axis at two points at 2 unit distance from the origin and the radius is 5

Homework Equations


x^2 + y^2 + 2gx + 2fy + c=0

r=(g^2+f^2-c)^1/2


The Attempt at a Solution


I first tried to solve it by assuming that the two points are (2,0) and (2+x,0). The main conundrum is solving for x and also finding out the center of the circle
 
Last edited:

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
25,832
250
Hi Dumbledore211! :smile:
Find the equation of the circle which intersects the x-axis at two points at 2 unit distance from the origin …
No, they're both at 2 from the origin, so they're x = ±2. :wink:

(and so the centre will … ?)
 
  • #3
1,540
134

Homework Statement



Find the equation of the circle which intersects the x-axis at two points at 2 unit distance from the origin and the radius is 5

Homework Equations


x^2 + y^2 + 2gx + 2fy + c=0
(x-g)^2 + (y-h)^2= r^2


The Attempt at a Solution


I first tried to solve it by assuming that the two points are (2,0) and (2+x,0). The main conundrum is solving for x and also finding out the center of the circle
The two points on the x- axis at 2 unit distance from the origin are (-2,0) and (2,0) . I guess now it should be easy for you :smile:
 
  • #4
Thank you. It should be fairly easy to solve it using your helpful info
 

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