ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD
(A) is a rectangle
(B) is always a rhombus
(C) is a parallelogram
(D) need not be any of (A), (B) or (C)
Answer: [D]
Solution.
Since diagonal of a parallelogram divides it into two triangles of equal area and rectangle and a rhombus are also parallelogram. It may be a kite as diagonals of a kite divides it two triangles of equal areas. Then ABCD need not be any of (a), (b) or (c).
Hence, (d) is the correct option.