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## Homework Statement

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.

## Homework Equations

## 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.