Let n ≥ 4 be a positive integer and let l1,l2,......,ln be the lengths of the sides of arbitrary n – sided non-degenerate polygon P. Suppose
l1
l2
+
l2
l3
+...+
ln−1
ln
+
ln
l1
=n
Consider the following statements:
I. The lengths of the sides of P are equal.
II. The angles of P are equal.
III. P is a regular polygon if it is cyclic.
Then

Question

Examsnet · Accepted Answer

Correct Answer is :  I and III are true

KVPY SA Exam 19-Nov-2017 Question Paper