I would like to ask for assiatance on the following:
Find the eqation of a circle, with a radius of$\sqrt 2$ , which also has as tangetns the lines: $ y=x+2 $ , $ y=-7x $. It is known that the circle is in the first quadrant.
A possible solution would be to construct the tangent equations to the circle but this turns out to be quite complex.. What are possible ways of solution here?