# geometry

posted by .

find the equation of the circle having center on 3x+y=6 and tangent to both axes

• geometry -

If a circle is tangent to both axes, then its centre lies along the line
y=x (for circle in first or third quadrant) or
y=-x (for circle in second or fourth quadrant).

3x+y=6
y=x

or
3x+y=6
y=-x

## Similar Questions

1. ### Math

Determine an equation of the circle that is tangent to both axes, has its center in the fourth quadrant and passes through the point (8, -9). Help please?
2. ### mathematics

Find the equation of the smaller circle tangent to both axes and passing the point (-3,6)
3. ### Analytic Geometry

Give the equation of the circle tangent to both axes of radius 5 and in the 1st quadrant. Can you help me solve this?
4. ### Analytic Geometry

Find the equation of the circle with radius sqrt2 tangent to the line x+y=3 and having its center on the line y=4x
5. ### Analytic Geometry

Find the equation of the circle, with radius 1, tangent to the line 3x+4y=5 and having its center on the line x+2y=0

1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q is on circle b such …
7. ### GEOMETRY CIRCLE

1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q is on circle b such …