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Q.

In the adjacent figure 

Let  CEEA=AFFB=λ1               LBBC=μ1

Question Image     

 and  FL¯=vFE¯  then which of the following is/are not INCORRECT ? 

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a

μ  must be equal to 1λ21  

b

AB¯   must be equal to μAC¯+AL¯μ+1   

c

AL¯  must be equal to  λ(1v)λ+1AB¯+vλ+1AC¯   

d

AL¯  must be equal to λ(1+v)λ+1AB¯vv+1AC¯       

answer is A, B, C.

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Detailed Solution

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A. A BE THE ORIGIN AND 
LET POSITION VECTOR OF B, C & L ARE  Question Image
Question Image
  Question Image

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B. P.V. OF E AND F ARE 
 Question Image  RESPECTIVELY 
ALSO P.V. OF  Question Image
 Question Image 
 Question Image

C. P.V. OF E AND F ARE 
Question Image   AND Question Image  RESPECTIVELY
P.V. OF  Question Image
AS Question Image  AND Question Image  ARE NON-COLLINEAR VECTORS
 Question Image  …..(I)
 Question Image   …..(II)
FROM (I) AND (II) 
Question Image 

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