Friday

August 1, 2014

August 1, 2014

Posted by **Lea** on Tuesday, January 29, 2013 at 10:34pm.

- Analytic Geometry -
**Reiny**, Tuesday, January 29, 2013 at 11:21pmlet the centre be (a,b)

but (a,b) lies on y = 4x

so b = 4a

and we can call our centre (a, 4a)

so the equation of our circle is

(x-a)^2 + (y-4a)^2 = 2

we know the distance from (a,4a) to

x+y-3 = 0 is √2

|a + 4a - 3|/√(1+1) = √2

5a - 3 = 2

5a = 5

a = 1

so the circle equation is

(x-1)^2 + (y-4)^2 = 2

**Related Questions**

Analytic Geometry - Find the equation of the circle, with radius 1, tangent to ...

calc - standard equation of circle concentric with X^2+Y^2-2X-8Y+1=0 and tangent...

Analytic Geometry - What is the equation of the circle touching the lines x-3y-...

Analytic Geometry - What is the equation of the circle touching the lines x-3y-...

Analytic Geometry - What is the equation of the circle touching the lines x-3y-...

Analytic Geometry - Find the equation of a circle passing through (3,7) and ...

Analytic Geometry - Find the equation of a circle passing through and tangent to...

Analytic Geometry - Find the equation of a circle passing through (3,7) and ...

Analytic Geometry - Find the equation of a circle passing through (3,7) and ...

Math (geometry) - Line l is tangent to circle O at point P(3,4) where the center...