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Question

Mathematics Question on Quadrilaterals

Let ABCD be a quadrilateral. If E and F are the mid points of the diagonals AC and BD respectively and (ABBC)+(ADDC)=kFE(\vec{AB}-\vec{BC})+(\vec{AD}-\vec{DC})=k \vec{FE}, then k is equal to

A

-4

B

-2

C

2

D

4

Answer

-4

Explanation

Solution

The correct option is(A): -4