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If aN = {an : n in N} and bn nn cN = ...

If `aN = {an : n in N}` and `bn nn cN = dN` where a, b, c, d in N and b, c are relatively prime then

A

d = bc

B

c = bd

C

b = cd

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
bN = The set of positive integral multiples of b
cN = The set of positive integral multiples of c
`therefore bNnncN` = The set of positive integral multiples of bc
= bc N [`because` b and c are prime]
`therefore d = bc`
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