SOLUTION: Find the equation of the radical axis of the two circles x2 + y2 - 4x - 6y - 3 = 0 and x2 + y2 - 12x - 14y + 65 = 0. a. 2x - 2y + 17 = 0 ​ ​b. 2x + 2y + 17 = 0

Algebra.Com
Question 1146432: Find the equation of the radical axis of the two circles x2 + y2 - 4x - 6y - 3 = 0 and x2 + y2 - 12x - 14y + 65 = 0.
a. 2x - 2y + 17 = 0 ​
​b. 2x + 2y + 17 = 0
​ ​c. 2x - 2y - 17 = 0 ​ ​ ​
​d. 2x + 2y - 17 = 0
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


NB: Use "^" (shift-6) to denote exponentiation -- e.g., "x^2" instead of "x2".
Subtract the second equation from the first:

   x^2 + y^2 -  4x -  6y -  3 = 0
   x^2 + y^2 - 12x - 14y + 65 = 0
  -------------------------------
                8x +  8y - 68 = 0

Simplify (divide by 4)

  2x + 2y - 17 = 0

ANSWER d.
RELATED QUESTIONS

Find the equation of the radical axis of the two circles x2 + y2 - 4x - 6y - 3 = 0 (answered by greenestamps)
Arrange the circles (represented by their equations in general form) in ascending order... (answered by ikleyn)
Find the vertex and focus of a parabola with the given equation. y2-6y-12x+21=0 and (answered by lwsshak3)
find the center and radius of the circle with equation... (answered by Earlsdon)
What is the general form of the equation of a circle with its center at (-2, 1) and... (answered by josgarithmetic)
Determine the length of the chord common to the circles x2 + y2 = 64 and x2 + y2 – 16x – (answered by Alan3354)
Find the equation of the line that is tangent to the point of contact of the circles x2 + (answered by greenestamps,Alan3354)
what is the center and the equation of... (answered by ewatrrr)
Find the center of a circle with the equation x2 + y2 + 2x + 4y - 9 =... (answered by Nate)