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Select the correct options from the given alternatives:If `A=[[1,2,2],[2,1,-2],[a,2,b]]`is a matrix satisfying the equation `A.A^T=9I`,where I is the identity matrix of order 3,then the paired (a,b) is equal to

A

(2,-1)

B

(-2,1)

C

(2,1)

D

(-2,-1)

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