ABCD is a parallelogram and A1 and B1 are the midpoints of sides BC and CD, respectively. If −−→AA1+−−→AB1=λ−−→AC, then λ is equal to
A
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
32
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C32 Let P.V. of A,B, and D be →0,→b and →d respectively.
Then, P.V. of C,→c=→b+→d
Also, P.V. of A1=→b+→d2 and
P.V. of B1=→d+→b2 ⇒−−→AA1+−−→AB1=32(→b+→d)⇒λ−−→AC=32−−→AC⇒λ=32