Monday

September 15, 2014

September 15, 2014

Posted by **ceasar1** on Wednesday, August 3, 2011 at 7:56am.

- mathematics -
**Reiny**, Wednesday, August 3, 2011 at 9:12amIf the circle is tangent to both axes and passes through (-3,6), I see its centre to be in the 2nd quadrant.

If the radius is r, then its centre must be (-r,r) and its equation is

(x+r)^2 + (y-r)^2 = r^2

x^2 + 2rx + r^2 + y^2 - 2ry + r^2 = r^2

at (-3,6)

9 - 6r + r^2 + 36 - 12r = 0

r^2 - 18r + 45 = 0

(r-3)(r-15) = 0

r = 3 or r = 15

since you want the smaller circle ... r = 3

equation:

(x+3)^2 + (y-3)^2 = 9

**Answer this Question**

**Related Questions**

mathematics - The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2....

mathematics - The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2....

mathematics - The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2....

mathematics - The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2....

math - can u help this the qustion is : A circle passes through the points (1,4...

steev - can u help this the qustion is : A circle passes through the points (1,4...

GEOMETRY CIRCLE - 1.An isosceles triangle with each leg measuring 13 cm is ...

Math - I have a series of questions that I did. They lead up to the last ...

geometry - find the equation of the circle having center on 3x+y=6 and tangent ...

GEOMETRY CIRCLES PLEASE - 1.An isosceles triangle with each leg measuring 13 cm ...