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3 -1 -2 1. Let P 2 0 3-5 2. 3. a where a R. Suppose Q = [q] is a matrix satisfying PQ

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3 -1 -2 1. Let P 2 0 3-5 2. 3. a where a R. Suppose Q = [q] is a matrix satisfying PQ = kl3 for some non- 0 zero ke R. If q23=- and|Q|=2, then a +k is equal to -k 8 If (x+x-2)dx=22, (a>2) and [x] denotes the greatest integer x, then (x+[x])dx is equal to Let be an integer. IF the shortest distance between the lines x-2=2y-1=-2z and 7 2012 x=y+22=z- is- , then the value of |2|............ '

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