book Maths Puzzle Numerical Ability

(x-2) is a factor of which polynomial?
I. x2-4x+4
II. x2+x-6

a.I only
b. II only
c. I and II
D. neither

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Dear Sir/Madam,

I am having difficulty finding the equation to the following problem.

The center of a circle is (1,2). A line touches the circle at a point (1,4). The line is tangent to a circle at that point. Find the equation of the line. I am sorry but the answer you gave me did not help at all. I need to know how to get these answers (-3,5) ,(-5,-5), (2,0) when i work these problems 1x+1y=2,
-5x+1y=20 and -5/-7x+