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Let za n domega be two complex numbers s...

Let `za n domega` be two complex numbers such that `|z|lt=1,|omega|lt=1a n d|z-iomega|=|z-i omega|=2,t h e nz` equals `1ori` b. `ior-i` c. `1or-1` d. `ior-1`

A

1 or i

B

`i` or `-i`

C

1 or `-1`

D

`i` or `-1`

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The correct Answer is:
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OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Exercise
  1. The number of solutions of the equation z^(2) + barz =0 is .

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  2. The centre of a square is at the origin and one of the vertex is 1-i e...

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  3. Let za n domega be two complex numbers such that |z|lt=1,|omega|lt=1a ...

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  4. The system of equation |z+1+i|=sqrt2 and |z|=3}, (where i=sqrt-1) ha...

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  5. The triangle with vertices at the point z1z2,(1-i)z1+i z2 is

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  6. Let a and b two fixed non-zero complex numbers and z is a variable com...

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  7. The centre of a square ABCD is at z=0, A is z(1). Then, the centroid o...

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  8. If z=x+i y , then the equation |(2z-i)/(z+1)|=m does not represents a ...

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  9. If x^2-2xcos theta+1=0, then the value of x^(2n)-2x^n cosntheta+1, n ...

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  10. If p^(2)-p+1=0, then the value of p^(3n) can be

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  11. The complex number 2^(n)/(1 + i)^(2n) + (1+i)^(2n)/2^(n), n in I is e...

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  12. If arg (z(1)z(2))=0 and |z(1)|=|z(2)|=1, then

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  13. If i = sqrt(-1), omega is non-real cube root of unity then ((1 + i)^(2...

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  14. If z is a complex number satisfying z+z^(-1) =1 " then " z^(n) + z...

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  15. x^(3m) + x^(3n-1) + x^(3r-2), where, m,n,r in N is divisible by

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  16. If z is nanreal root of ""^(7)sqrt(-1), then find the value of z ^(86...

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  17. The locus of point z satisfying Re(z^(2))=0, is

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  18. The curve represented by "Im"(z^(2))=k, where k is a non-zero real num...

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  19. If log(tan30^@)[(2|z|^(2)+2|z|-3)/(|z|+1)] lt -2 then |z|=

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  20. The roots of the cubic equation (z+ ab)^(3) = a^(3), such that a ne 0...

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