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  1. In ∆ ABC two medians BE and CF intersect at the point O and P, Q are the midpoints of BO and CO respectively. If the length of PQ = 3cm, then the length of FE will be
    1. 3 cm
    2. 6 cm
    3. 9 cm
    4. 12 cm
Correct Option: A

On the basis of question we draw a figure of triangle ABC ,

The line joining the mid-points of two sides of a triangle is parallel to the third side and half of that one.

∴ FE =
1
BC (From ∆ ABC)
2

PQ =
1
BC (From ∆ BOC)
2

∴ FE = PQ = 3 cm.



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