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E and F are the interior points on the s...

E and F are the interior points on the sides BC and CD of a parallelogram ABCD. Let `vec(BE)=4vec(EC) and vec(CF)=4vec(FD)`. If the line EF meets the diagonal AC in G, then `vec(AG)=lambda vec(AC)`, where `lambda` is equal to :

A

`(1)/(3)`

B

`(21)/(25)`

C

`(7)/(13)`

D

`(21)/(5)`

Text Solution

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The correct Answer is:
B
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