1. The problem statement, all variables and given/known data I have a line obtained from using a slope of 1 and point (-sqrt(2),sqrt(2)): y - sqrt(2) = 1 (x+sqrt(2)) y = 2*sqrt(2) + x and a circle with radius 5 centered at origin. My thought was to solve this parametrically The line is the tangent line (blue line). I am trying to find the insersections (points) where the blue line meets the red circle. 2. Relevant equations 3. The attempt at a solution Given point (-sqrt(2),sqrt(2)) and knowing the vector <1,1> X = -sqrt(2)+t Y = sqrt(2)+t X = 5 * cos(t) Y = 5 * sin(t) Subsituting: -sqrt(2)+t = 5 * cos(t) sqrt(2)+t = 5 * sin(t) I then attempt to solve for t, but cannot find a solution.