Hello guys, I have crossed upon new problem! You might be able to help :)

I tried to create Tangent curve to red line at Point_1 and the green circle.

( I know the center of the circle which is tangent to red line at Point_1 would fall on the Magenta line)

I was able to draw Blue curve using "Arc Tan" but it was by try and error method I have also tried to use Martin's method but in this problem because the blue curve should be tangent to red line at Point_1 I faced difficulties using Martin's method.

I'd appreciate any help :)