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Let A, B, C respresent the vertices of a...

Let A, B, C respresent the vertices of a triangle, where A is the origin and B and C have position b and c respectively. Points M, N and P are taken on sides AB, BC and CA respectively, such that `(AM)/(AB)=(BN)/(BC)=(CP)/(CA)=alpha Q. AN+BP+CM is

A

`3a(barb+barc)`

B

`a(barb +barc)`

C

`(1-a)(barb+barc)`

D

None of these

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