Q.

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

answer is A.

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Detailed Solution

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