# Circle problem

## 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:

tiny-tim
Homework Helper
Hi Dumbledore211! 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. (and so the centre will … ?)

## 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 Thank you. It should be fairly easy to solve it using your helpful info