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1+i^(2)+i^(4)+i^(6)+... .+i^(2 n)=...

` 1+i^(2)+i^(4)+i^(6)+... .+i^(2 n)=`

A

positive

B

negative

C

0

D

cannot be evaluated

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
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  2. If the complex number z=x+ iy satisfies the condition |z+1|=1, then z ...

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  3. 1+i^(2)+i^(4)+i^(6)+... .+i^(2 n)=

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  4. If f(z)=(7-z)/(1-z^(2)), where z=1+2 i, then |f(z)| is

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  5. The value of arg (x) when xlt0 is

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  6. The real value of thetafor which the expression is (1+icos theta)/(1...

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  7. |z(1)+z(2)|=|z(1)|+|z(2)| is possible if

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  8. If z is a complex number then

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  9. The complex number z, which satisfies the condition |(1+z)/(1-z)|=1 li...

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  10. If a+i b=c+i d, then

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  11. Let x, y in R then x+i y is a non real complex number is

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  12. Let P be a point represented by the complex number Z. Rotate OP (O is ...

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  13. Which of the following is correct for any two complex numbers z(1) and...

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  14. A real value of x satisfies the equation (3-4 i x)/(3+4 i x)=alpha-i b...

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  15. If ((1+i)/(1-i))^(x)=1, then x=

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  16. The value of (z+3)(bar(z)+3) is equivalent to

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  17. If z=x+ iy lies in the third quadrant then, (barz)/(z) also lies in th...

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  18. The real value of alpha for which the expression (1-i sin alpha)/(1+2 ...

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  19. sin x+i cos 2 x and cos x-i sin 2 x are conjugate to each other for,

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