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Assertion: If I is the incentre of /\ABC...

Assertion: If I is the incentre of `/_\ABC, then`|vec(BC)|vec(IA)+|vec(CA)|vec(IB)+|vec(AB)|vec(IC)=0` Reason: If O is the origin, then the position vector of centroid of `/_\ABC` is (vecOA)+vec(OB)+vec(OC))/3` (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

A

Statement-II and statement II ar correct and Statement III is the correct explanation of statement I

B

Both statement I and statement II are correct but statement II is not the correct explanation of statement I

C

Statement I is correct but statement II is incorrect

D

Statement II is correct but statement I is incorrect

Text Solution

Verified by Experts

The correct Answer is:
B
We know that,
`OI=(|CB|OA+|CA|OB+|AB|OC)/(|BC|+|CA|+|AB|)`
and `OG=(OA+OB+OC)/(3)`
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