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In a DeltaABC, a line is drawn passing t...

In a `DeltaABC`, a line is drawn passing through centroid dividing AB internaly in ratio 2:1 and AC in `lamda:1` (internally). The value of `lamda` is

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The correct Answer is:
2

`XG=kGY`
`(b+c)/(3)-(2b)/(3)=k((lamdac)/(1+lamda)-(b+c)/(3)),k=1`

`(2c)/(3)=(lamda)/(1+lamda)c`
`implies (lamda)/(1+lamda)=(2)/(3)`
`implies lamda=2`
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