SOLUTION: Find the values of c such that the line with equation y=2x+c is tangent to the circle with equation x^2+y^2=36

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Question 972435: Find the values of c such that the line with equation y=2x+c is tangent to the circle with equation x^2+y^2=36
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
The tangent to the circle meets on the circle for a line with slope -1%2F2 and goes through (0,0). Center of the circle is at (0,0). y=-x%2F2 must intersect y=2x%2Bc for a point ON the circle. The intersection point will be 6 units from the origin, because the radius of the circle is 6. Make use of the Distance Formula. That is the general idea although I have not worked through to actually try to solve.