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 IB. Both statement I and statement II are correct but statement II is not the correct explanation of statement IC. Statement I is correct but statement II is incorrectD. Statement II is correct but statement I is incorrect

Assertion: If I is the incentre of `/_ABC, then`|vec(BC)|vec(IA)+|vec(

1.	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 IB. Both statement I and statement II are correct but statement II is not the correct explanation of statement IC. Statement I is correct but statement II is incorrectD. Statement II is correct but statement I is incorrect
Answer» Correct Answer - B We know that, `OI=(\|CB\|OA+\|CA\|OB+\|AB\|OC)/(\|BC\|+\|CA\|+\|AB\|)` and `OG=(OA+OB+OC)/(3)`

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