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in Permutations and combinations by (52.7k points)

Consider 26 tangent lines to an ellipse. The lines separate the plane into several regions, some enclosed and others unbounded. Then the number of unbounded regions is

(A)  50

(B)  52 

(C)  26C2 

(D)  None of these

1 Answer

+1 vote
by (46.6k points)
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Best answer

Correct option (B) 52

For every tangent line introduced there are two unbounded regions formed, so for 26 tangents 2  x 26 = 52 unbounded regions are formed. 

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