Given that is a cyclic quadrilateral.
(Angle subtended by chord on the same side of arc)
(Angle subtended by chord on the same side of arc
and are similar triangles.
Similarly, and are also similar using AA similarity property.
Given that,
and
(Similar Triangles and )
(Similar Triangles and )
On multiplying both,
So, the correct option is (C):
Let ABCD be a quadrilateral. If E and F are the mid points of the diagonals AC and BD respectively and , then k is equal to