# A Seemingly Short and Sweet but Intriguing Christmas Special Circle Problem. (Revised)

Geometry Level 3

Find the equations of the tangents to the circle $${ x }^{ 2 }+{ y }^{ 2 }-2x-6y-10=0$$, which is parallel to the line $$y=2x$$.

Details:

1. If the equations can be expressed in the form of $$y=2x+a$$ and $$y=2x+b$$, find the value of $$a+b$$.

2. The Image uploaded is just for display and has no relation to the real question.

3. I apologize for any inconvenience caused especially for those who created the solutions for removing the earlier similar question as it wasn't properly set. Again, I hope to see great solutions coming up! Merry Christmas.

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