If A, B and C are three sets such that A∩B=A∩C and A∪B=A∪C, then
A = C
B = C
A = B
We solve this question by visualizing using Venn Diagram. We will find that B=C is the only case where both the given conditions will be correct.
If a=π3e,b=3πe and c=e3π, then