Can someone please explain me the solution for this problem. The correct answer is **B, C, D, E, F**

Thanks in advance.

For shortest distance:

distance b/w mid point of line segment (1,2) and leftmost point of circle (4,2) = 4 - 1 = 3

For longest distance:

distance b/w the rightmost point on the circle (6,2) and either extreme of the line segments (1, 1) or (1, 3)= \sqrt{(6 -1)^2 + (2-1)^2} = \sqrt{5^2 + 1^2} = \sqrt{25 + 1} = \sqrt{26} = 5.1

So, all answers between 3 and 5.1

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