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In a triangle ABC, D, E and F are the mi...

In a triangle ABC, D, E and F are the mid-points of the sides BC, CA and AB, respectively. BE and DF intersect at X. DE and CF intersect at Y. Find `XY = ?`
A)`(1)/(2) BC`
B)`(1)/(4) BC`
C)`(1)/(3) BC`
D)`(2)/(3) BC`

A

`(1)/(2) BC`

B

`(1)/(4) BC`

C

`(1)/(3) BC`

D

`(2)/(3) BC`

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