**Option : (A)**

**Given, **

ABCD is a parallelogram

E & F are centroids of ∆ABD & ∆BCD respectively

We know that diagonals of parallelogram bisect each other & centroid of a median divides it in 2 : 1

**So,**

**In ∆ABD,**

**From equations (i) & (ii) **

EO = FO

EF = 2 FO** ……..(iii) **

AE = CF**……(iv)**

**From equation (i),**