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.
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)
-sqrt(2)+t = 5 * cos(t)
sqrt(2)+t = 5 * sin(t)
I then attempt to solve for t, but cannot find a solution.