1
Question
In a triangle ABC, if 2−−→AC=3−−→CB and 2−−→OA+3−−→OB=λ⋅−−→OC, then λ is
In a triangle ABC, if 2−−→AC=3−−→CB and 2−−→OA+3−−→OB=λ⋅−−→OC, then λ is
Open in App
Solution
Given, 2−−→AC=3−−→CB
−−→AC=−−→OC−−−→OA⇒−−→OA=−−→OC−−−→AC
−−→CB=−−→OB−−−→OC⇒−−→OB=−−→CB+−−→OC
∴2−−→OA+3−−→OB=5−−→OC−2−−→AC+3−−→CB
⇒2−−→OA+3−−→OB=5−−→OC (∵2−−→AC=3−−→CB)
∴λ=5
−−→AC=−−→OC−−−→OA⇒−−→OA=−−→OC−−−→AC
−−→CB=−−→OB−−−→OC⇒−−→OB=−−→CB+−−→OC
∴2−−→OA+3−−→OB=5−−→OC−2−−→AC+3−−→CB
⇒2−−→OA+3−−→OB=5−−→OC (∵2−−→AC=3−−→CB)
∴λ=5
Suggest Corrections
0
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
