are respectively the points on the sides 
and AB of a 
dividing them in the ratio 
, 3:1 internally. The lines 
and 
intersect on the line 
at P . If 
then 
Text Solution
Verified by ExpertsA
Let position vectors of vertices are 
and 
Applying section formula, P.V. of D : 
P.V. of 
P.V. of 
Let 
By section formula,
Position vector of 
similarly 
AFPE is a parallelogram
(By parallelogram law of addition)
Now, mid points of diagonal bisect each other
Mid point of 
Mid point of 
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