Q.
nC0+nC3+⋯−(1/2) nC1+nC2+nC4+nC5+⋯2+(3/4) nC1−nC2+nC4−nC5+⋯2=
see full answer
Start JEE / NEET / Foundation preparation at rupees 99/day !!
21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya
a
3
b
4
c
2
d
1
answer is D.
(Unlock A.I Detailed Solution for FREE)
Ready to Test Your Skills?
Check your Performance Today with our Free Mock Test used by Toppers!
Take Free Test
Detailed Solution
(1+ω)n=nC0+nC1ω+⋯ = nC0+nC3+⋯+ nC1+nC4+⋯−1+3i2+ nC2+nC5+⋯−1−3i2 = nC0+nC3+⋯−12 nC1+nC2+nC4+nC5…+i32 nC1−nC2+nC4−nC5+⋯Equating the modulus, we get −ω2n=1. ( If z = x +iy then z2=x2+y2 )
Watch 3-min video & get full concept clarity