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If i=sqrt(-1), then 4+5(-1/2+(isqrt(3)...

If `i=sqrt(-1)`, then
`4+5(-1/2+(isqrt(3))/(2))^(334)+3(1/2+(isqrt(3))/(2))^(365)`is equal to

A

`1 - isqrt(3)`

B

`- 1 + isqrt(3)`

C

`isqrt(3)`

D

`- isqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-COMPLEX NUMBERS -Problem Set (2) (M.C.Q)
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  2. What is the value of : ((-1+isqrt(3))/(2))^(3n) + (( -1-isqrt(3))/(2...

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  9. If a+b+c=0 and omega,omega^2 are imaginary cube roots of unity, then (...

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  10. If omega is a cube root of unity but not equal to 1, then minimum valu...

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  11. If x=a+b,y=aomega+bomega^2 nd z=omega^2+bomega, prove that x^3+y^3+z^3...

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  12. If x=a+b,y=aomega+bomega^2 nd z=omega^2+bomega, prove that x^3+y^3+z^3...

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  15. If alpha , beta , gamma are cube roots of p lt 0, then for any x , y,...

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  16. The value |(1 + omega,omega^(2),-omega),(1 + omega^(2),omega,-omega^(...

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