wiz-icon
MyQuestionIcon
MyQuestionIcon
5
You visited us 5 times! Enjoying our articles? Unlock Full Access!
Question

Given that α,β,a,b are in A.P. ; α,β,c,d are in G.P. and α,β,e,f are in H.P. If b,d,f are in G.P., then the value of β6α6αβ(β4α4) is

A
23
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
32
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
43
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
34
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 32
α,β,a,b are in A.P.
b=α+3(βα)=3β2α

α,β,c,d are in G.P.
d=α(βα)3=β3α2

α,β,e,f are in H.P.
1f=1α+3(1β1α)
f=αβ3α2β

Now, since b,d,f are in G.P.,
d2=bf
(β3α2)2=(3β2α)αβ(3α2β)
β5(3α2β)=α5(3β2α)
3αβ52β6=3βα52α6
3αβ(β4α4)=2(β6α6)
β6α6αβ(β4α4)=32

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Harmonic Progression
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon