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Let lambda be the greatest integer for w...

Let `lambda` be the greatest integer for which `5p^(2)-16,2plambda,lambda^(2)` are jdistinct consecutive terms of an AP, where `p in R`. If the common difference of the Ap is `((m)/(n)),n in N` and m ,n are relative prime, the value of `m+n` is

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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