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The value of (1+i)(1+i^2)(1+i^3)(1+i^4) ...

The value of `(1+i)(1+i^2)(1+i^3)(1+i^4)` is a. 2 b. 0 c. 1 d. `i`

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Verified by Experts

B is correct
As `(1+i)(1+i^2)(1+i^3)(1+i^4)`
As `(i^2=-1)`
`=>(1+i)0(1+i^3)(1+i^4)`=0
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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
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  2. Write the argument of (1+isqrt(3))(1+i)(costheta+isintheta).

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  3. The value of (1+i)(1+i^2)(1+i^3)(1+i^4) is a. 2 b. 0 c. 1 d. i

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  10. If a=costheta+isintheta, then (1+a)/(1-a) is a. cot(theta/2) b. cot...

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  12. If ((a^2+1)^2)/(2a-i)=x+i y , then x^2+y^2 is equal to a. ((a^2+1)^4)/...

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  16. If a=1+i , then a^2 equals A. 1-i B. 2i C. (1+i)(1-i) D. (i-1)

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  18. (sqrt(-2))(sqrt(-3)) is equal to A. sqrt(6) B. -sqrt(6) C. isqrt(6)...

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  19. The argument of (1-isqrt(3))/(1+isqrt(3)) is a. 60^@ b. 120^@ c. 210^@...

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  20. If z=((1+i)/(1-i)), then z^4 equals a. 1 b. -1 c. 0 d non of t...

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