Q.

ABCD is a Parallelagram A1 and B1 are mid points of sides BC and CD respectively. If AA-1+AB-1=λAC- then 2λ=

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answer is 3.

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Detailed Solution

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A be the origin AB=b,AD=dAC¯=b+d AA1=2b+d2,AB1=b+2d2 AA1 +  AB1=2b+d2+b+2d2=32b+d=32AC¯ λ=322λ=3

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ABCD is a Parallelagram A1 and B1 are mid points of sides BC and CD respectively. If AA-1+AB-1=λAC- then 2λ=