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If a polygon has 14 diagonals, then the number of its sides are

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a
11
b
7
c
8
d
None of these

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detailed solution

Correct option is A

Let n be the number of diagonals of a polygon .Then nC2−n=44⇒n(n−1)2−n=44⇒n2−3n−88=0⇒n=−8 or 11n=11


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