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Question

ABCD is a parallelogram and A1 and B1 are the midpoints of sides BC and CD, respectively. If AA1+AB1=λAC, then λ is equal to

A
12
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B
1
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C
32
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D
2
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Solution

The correct option is C 32
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)λAC=32ACλ=32

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