Let OABC is the parallelogram and D is the midpoint of OA prove that segment CD trisects diagonal
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Answer:
P.v. of D=
2
a
P.v. of E=
λ(
b
+
a
)
Let E divide CD in ratio K:1
P.v. of E=
K+1
K
2
a
+
b
λ(
b
+
a
)=
k+1
2
k
a
+
b
λ=
k+1
1
λ=
2k+1
k
So K=2
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