If 1,ω,ω2,....ωn−1 are n,nth roots ofunity then the value of (13−ω)(13−ωn−1) equals
A
13n+13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
13n−13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
13n−1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is B None of these (13−w)(13−wn−1) =(13−w)(13−wnw) =(13−w)(13−¯¯¯¯w) =169−13(w+¯¯¯¯w)+w¯¯¯¯w =169−13(Re(w))+1 =170−13(Re(w)) Hence answer is none of these.