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Let A=[underset(0" "1)overset(2" "q)...

Let `A=[underset(0" "1)overset(2" "q)""] and A^(8)=[underset(0" "1)overset(x" "yq)""],` then x-y is -

A

0

B

1

C

2

D

-1

Text Solution

Verified by Experts

The correct Answer is:
B
`A^(2)=[underset(0" "1)overset(2^(2)""(2^(2)-1)q)""]`
`A^(3)=[underset(0" "1)overset(2^(3)""(2^(3)-1)q)""]`
`A^(8)=[underset(0" "1)overset(2^(8)""(2^(8)-1)q)""]`
`x=2^(8) y=2^(8)-1`
` x-y=2^(8)-(2^(8)-1)=1`
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