Wednesday

October 22, 2014

October 22, 2014

Posted by **Anonymous** on Wednesday, October 7, 2009 at 7:23pm.

- math -
**Anonymous**, Wednesday, October 7, 2009 at 8:30pm(x-(1-(4/sqrt(2))))^2+(y-(2+(4/sqrt(2))))^2=16

and

(x-(1+(4/sqrt(2))))^2+(y-(2-(4/sqrt(2))))^2=16

- math -
**jim**, Wednesday, October 7, 2009 at 8:43pmConsider the line tangent to y^2=4x. It has m = x^(-1/2). At 1,2, that's m=1, so y=x+1. The circles are tangent to this line, so a perpendicular through (1,2) joins their centres. That'll be y=-x+3.

So to get our centres we're looking for two points with a distance of 4 from (1,2) along y=-x+3.

Since the slope is -1, the x-distance must be the same as the y-distance, so the distance in both directions must be root(2).

Given that, you have your centres, and plugging that and the radius into the standard equation of a circle finishes the job.

**Answer this Question**

**Related Questions**

math - Two circles of radius 4 are tangent to the graph y^2=4x at the point (1,2...

AP Calculus - Two circles of radius 4 are tangent to the graph of y^2=4x at the ...

AP Calculus - I asked this yesterday and someone answered. but i didn't ...

Geometry - Circles and tangents - Two circles of radius 1 are externally tangent...

maths - there are two circles touching each other at one point. The radius of ...

calculus - if the tangent of two intersecting circles, at their points of ...

PLEASE HELP TANGENTS AND CIRCLES PROBLEM GEOMETRY - PLEASE HELP I REALLY NEED ...

GEOMETRY(CIRCLE) - Three circles with different radii have their centers on a ...

Geometry/Trigonometry - Circles with centers (2,1) and (8,9) have radii 1 and 9...

8th grade Math - This four-leaf clover consists of four coplanar circles. Each ...