The area of any cyclic quadrilateral ABCD is given by A2 = (s – a)(s – b)(s – c)(s – d), where 2s =a + b + c + d, a, b, c and d are the sides of the quadrilateral. For a cyclic quadrilateral ABCD of area 1 sq. unit answer the following questions:
1. The minimum perimeter of the quadrilateral is
(A) 4
(B) 2
(C) 1
(D) None of these
2. The minimum value of the sum of the lengths of diagonals is
(A) 2√2
(B) 2
(C) √2
(D) None of these
3. When the perimeter is minimum the quadrilateral is necessarily
(A) a square
(B) a rectangle but not a square
(C) a rhombus but not a square
(D) None of these