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The number of complex numbers z such tha...

The number of complex numbers `z` such that `|z-1|=|z+1|=|z-i|` is

A

1

B

2

C

`infty`

D

0

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The correct Answer is:
A
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ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find the value of 2^4

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  2. If alpha and beta are the roots of the equation x^2"-"x""+""1""=""0 , ...

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  3. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

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  4. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

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  5. The set {R e((2i z)/(1-z^2)): z is a complex number,|z|=1,z=+-1} is.

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  6. The maximum value of |ar g(1/(1-z))| for |z|=1 ,z!=1 is given by

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  7. Find the value of 3^4

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  8. Let alpha and beta be real numbers and z be a complex number. If z^(2...

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  9. If omega is a cube root of unity and (1+omega)^7=A+Bomega then find th...

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  10. Let z be a complex number such that the imaginary part of z is nonz...

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  11. If z ne 1 and (z^(2))/(z-1) is real, then the point represented by the...

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  12. Let complex numbers alpha and 1/alpha lies on circle (x-x0)^2+(y-y0)^2...

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  13. What is 3% Equals to

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  14. Express in the form of complex number if z=i^(-39)

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  15. Express in the form of complex number (1-i)^4

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  16. If z is a complex number such that |z|geq2 , then the minimum value ...

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  17. A complex number z is said to be unimodular if abs(z)=1. Suppose z(1) ...

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  18. Let omega ne 1 be a complex cube root of unity. If (3-3omega+2omega^(2...

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  19. For any integer k , let alphak=cos(kpi)/7+isin(kpi)/7,w h e r e i=sqrt...

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  20. What is 4% Equals to

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