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Let O, O' and G be the circumcentre, ort...

Let O, O' and G be the circumcentre, orthocentre and centroid of a `Delta ABC` and S be any point in the plane of the triangle.
Statement -1: `vec(O'A) + vec(O'B) + vec(O'C)=2vec(O'O)`
Statement -2: `vec(SA) + vec(SB) + vec(SC) = 3 vec(SG)`

A

`OO'`

B

`2O'O`

C

`2O O'`

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
`O'A=O'O=OA`
`O'B=O O'+OB`
`O'C=O'O+OC`
`impliesO' A+O'B + O'C=3O'O+OA+OB+OC`

Since, `OA+OB+OC=O O'=-O'O`
`therefore O'A+O'B+O'C=2O'O`
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