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 ve
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
1 Answers
Correct Answer - B
We know that,
`OI=(|CB|OA+|CA|OB+|AB|OC)/(|BC|+|CA|+|AB|)`
and `OG=(OA+OB+OC)/(3)`