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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

a. `3alpha(b+c)`

B

b. `alpha(b+c)`

C

c. `(1-alpha)(b+c)`

D

d. `0`

Text Solution

Verified by Experts

The correct Answer is:
D
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