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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

2

B

`oo`

C

0

D

1

Text Solution

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-COMPLEX NUMBERS -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. The conjugate of a complex number is 1/(i-1) . Then the complex num...

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  2. If |z-4/z| = 2 , then the maximum value of |z|

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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 omega(ne 1) be a cube root of unity and (1+omega)^(7)=A+Bomega, the...

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  5. Let alpha,beta be real and z be a complex number. If z^2+alphaz""+beta...

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

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  7. The area of the triangle on the Arand plane formed by the complex numb...

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  8. If z is a complex number of unit modulus of modulus and argument thet...

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  9. if (5z2)/(7z1) is purely imaginary number then |(2z1+3z2)/(2z1-3z2) |...

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  10. Let a = Im((1+z^(2))/(2iz)), where z is any non-zero complex number. T...

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  11. If a complex number z satisfies z + sqrt(2) |z + 1| + i=0, then |z| is...

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  12. If z is a complex number such that |z|>=2 then the minimum value of |z...

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  13. Let w(Im w != 0) be a complex number. Then the set of all complex num...

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  14. If z(1),z(2) and z(3),z(4) are two pairs of conjugate complex numbers ...

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  15. Let z!=i be any complex number such that (z-i)/(z+i) is a purely imagi...

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  16. For all complex numbers z of the form 1 + ialpha, alpha in "R if z"^(2...

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  17. A complex number z is said to be uni-modular if |z|=1. Suppose z(1) a...

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  18. The largest value of r for which the region represented by the set {om...

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  19. If Z is a non-real complex number, then find the minimum value of (Imz...

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  20. A value of for which (2+3isintheta)/(1-2isintheta) purely imaginary, ...

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