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ABCD is a parallelogram and E and F are the centroids of triangles ABD and BCD respectively, then EF = 

A. AE 

B. BE 

C. CE 

D. DE

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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),

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