SOLUTION: The line with the equation y=mx+c is tangent to the circle with equation x^2+y^2=36. Find c in terms of m.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The line with the equation y=mx+c is tangent to the circle with equation x^2+y^2=36. Find c in terms of m.      Log On


   

Question 972586: The line with the equation y=mx+c is tangent to the circle with equation x^2+y^2=36. Find c in terms of m.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Can you find the line through the center of the circle ( being the origin for your circle) with a slope -1%2Fm? Now, where on this line is the distance 6 units away from the origin? The second question here would use the Distance Formula.

I did not try this myself but it should work well as a strategy.