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P is the mid-point of side A B of a para...

`P` is the mid-point of side `A B` of a parallelogram `A B C D` . A Line through `B` parallel to `P D` meets `D C` at `Q` and `A D` produced at `R` . Prove that (i) `A R=2B C` (ii) `B R=2B Qdot`

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