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IIT JEE Advanced 2010 Paper 2

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Question : 47

Total: 57

Let k be a positive real number and let A = [

2k−1	2√k	2√k
2√k	1	−2k
−2√k	2k	−1

0	2k−1	√k
1−2k	0	2√k
−√k	−2√k	0

]. If det(adj A) + det(adj B) = 106, then [k] is equal to _____.
(Note: adjM denotes the adjoint of a square matrix M and [k] denotes the largest integer less than or equal to k).

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