Algebra-5

if (√3+i)n=2n then n is

a) an integral multiple of 12
b)an integral multiple of 5
c)an integral multiple of 8
d)none

5 Answers

1
voldy ·

d ) I think but here 12 also satifies so ???[7]

1
Optimus Prime ·

u are wrong srinath

106
Asish Mahapatra ·

(2eiπ/6)n = 2n
==> einπ/6 = 1
==> cos(nπ/6) + isin(nπ/6) = 1
==> cos(nπ/6) = 1 and sin(nπ/6) = 0
==> nπ/6 = 2mπ and nπ/6 = nπ
==> n = 12m

(a)

1
voldy ·

oh haan . I took cos(π/3) = √3 /2 my mistake. :P

1
Optimus Prime ·

thanks asish

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