Given products of the following:
a.

Explanation

a. The requirement that migration group should be trans to the leaving group is very important in alicyclic system.

i. Two `(--OH)` are in cis (syn) position, both (OH) are in `(uarr)` up position: C-1 (OH) and C-2 (Me) are in trans (anti) position: C-1 (OH) in `(uarr)` up position and C-2 (Me) in `(darr)` down position.
ii. trans-Compound w.r.t. C-1 (OH) and C-2 (Me), two eliminating groups (OH) and (Me) are in trans position.
b.
i. Two `(--OH)` on C-1 are in trans (anti) position, C-1 (OH) in `(darr)` position but C-2 (OH) in `(uarr)` up position, similarly two (Me) on C-1 and C-2 are in trans (anti) position. C-1 (Me) is in `(uarr)` up position and C-2 (Me) is in `(darr)` down position.
ii. cis-compound w.r.t. C-1 (OH) and C-2 (Me), two eliminating groups (OH) and (Me) are in cis (syn) position.
iii. Pinacol-pinacolone rerrangement does not occur. instead dehydration takes by the the ring contration to give cyclopentyl derivative.