calc

posted by .

standard equation of circle concentric with X^2+Y^2-2X-8Y+1=0 and tangent to line 2X-Y=3


Complete the squares to find the center of the circle.
X^2+Y^2-2X-8Y+1=0
(x-1)^2+(y-4)^2 - 16 =0
The center is (1,4) and the radius for the given circle is 4.
Now find the distance from (1,4) to the line to get the radius, then write the concentric circle's equation.


how do I get the distance if I don't have a point of intersection with the line or do I?


If you have a point (x1,y1), the distance to the line Ax+By+C=0 is
|Ax1+By1+c|/sqrt(A^2+B^2)
No, you don't have a point of intersection, you just want to find the distance and use that for the radius. The circle and line need to be tangent.


Thank you so much...

  • calc -

    just believe in god

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calc

    standard equations of circles that have centers on line 5x-2y=-21 and are tangent to both axis. Any ideas?
  2. math

    a circle is tangent to the y-axis at y=3 and has one x-intercept at x=1 a) what's the other x-intercept b) what's the equation i have no clue how to solve this! You know that the center of the circle is somewhere in the line y = 3, …
  3. Math

    The points (4, –5) and (– 4, 1) are endpoints of a diameter of a circle. (a) Find the center of the circle. (b) Find the length of the radius of the circle. (Note that this is a distance.) Give the exact answer. Show work. (c) …
  4. Math(Please check answers)

    These questions that I have completed are on a test review for my exam and I would just like to know if they are correct. These are only a few of the questions, I have more that are just not complete yet. Thank You! 1) List the intercepts …
  5. Math

    These questions that I have completed are on a test review for my exam and I would just like to know if they are correct. These are only a few of the questions, I have more that are just not complete yet. Thank You! 1) List the intercepts …
  6. NEED MAJOR HELP! *QUADRATIC EQUATIONS*

    Write the equation for the circle with center at (- 8, - 6) and radius of 10. (x+8)² + (y + 6)² = 10 (x+8)² + (y + 6)² = 100 (x-8)² + (y - 6)² = 100 Find the standard equation for the circle with center on the positive x-axis …
  7. Equations of a Circle

    Write the standard for of the equation of the circle that passes through the points at (0,8),(8,0),and (16,8). Then identify the center and radius of the circle. I have r=8, center=(8,8). What now?
  8. geometry

    two concentric circles with center E, AB = 40 CD = 24, CD is perpendicular to AE, and AB is tangent at C. FInd AF AB is chord in big circle. CD is chord in little circle and C is center of AB.
  9. Geometry

    How to put each circle in standard form? 1. Center of the line 5x-3y=12 and tangent to both axes.(first quadrant circle only). 2.passes through (-3,22) and tangent to the y axis at (0,19) 3.diameter ab with a (4,10) and b (8,14) 4.
  10. Geometry

    Write the General form equations for the following circles: 1. A circle with center (1, -6) and radius 4 2. A circle with center (6, 8) and radius 10 3. A circle with center (0, 3) and radius 2√3 4. A circle with center (-0.5, 5.5 …

More Similar Questions