wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If 12x+1{(1+2x+1)n(12x+1)n}=a0+a1x+a2x2+....+anxn then n must be equal to

A
20,21
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
21,22
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
22,23
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 21,22
12x+1{(1+2x+1)n(12x+1)n}
=2{nC1+nC3(2x+1)+nC5(2x+1)2+....}
For R.H.S to be polynomial of degree 10, the last term of R.H.S must
nC21(2x+1)10
This can happen if n=21 or 22

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Some Functions and Their Graphs
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon