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(1+i)^8+(1-i)^8=?...

`(1+i)^8+(1-i)^8=?`

A

`2^(8)`

B

`2^(5)`

C

`2^(4)cospi/4`

D

`2^(8)cospi/8`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
  1. Let z and omega be two non-zero complex numbers, such that |z|=|omega|...

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  2. If z ne 0 be a complex number and "arg"(z)=pi//4, then

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  3. (1+i)^8+(1-i)^8=?

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  4. What is the smallest positive integer n for which (1+i)^(2n)=(1-i)^(2n...

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  5. If alphaand betaare different complex numbers with |beta|=1,then fin...

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  6. For any complex number z, the minimum value of |z|+|z-1|

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  7. If (3pi)/(2) gt alpha gt 2 pi, find the modulus and argument of (1 -...

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  8. If the roots of (z-1)^n=i(z+1)^n are plotted in ten Argand plane, then...

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  9. Area of the triangle formed by 3 complex numbers, 1+i,i-1,2i, in the A...

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  10. If omega is a complex cube root of unity, then (1-omega+omega^(2))^(6...

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  11. The locus represented by the equation |z-1| = |z-i| is

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  12. If z=i log(23,t h e ncosz= -1 b. -1//2 c. 1 d. 1//2

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  13. If alpha=cos alpha+i sin alpha, b=cos beta+isin beta,c=cos gamma+i sin...

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  14. lf z1,z2,z3 are vertices of an equilateral triangle inscribed in the c...

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  15. The general value of theta which satisfies the equation (costheta+isin...

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  16. If z is a complex numbers such that z ne 0 and "Re"(z)=0, then

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  17. If z + z^(-1)= 1, then find the value of z^(100) + z^(-100).

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  18. Let A,B and C represent the complex number z1, z2, z3 respectively on ...

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  19. Number of solutions of the equation z^(2)+|z|^(2)=0, where z in C, is

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  20. The number of solutions of the equation z^2+z=0 where z is a a complex...

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