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(i) Zero has no reciprocal as it's reciprocal is not defined.
(ii) The numbers 1 and -1 are their own reciprocals as
and 
(iii)
. We know that reciprocal of A is 
.
(iv) Since
.
(v) rational number. We know that if p and q are 2 rational numbers then pq is also a rational number.
(vi) Positive. Since reciprocal of A is
, now if A is positive then reciprocal is also positive.