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If `z_(1) , z_(2)` are two complex numbers satisfying `|(z_(1) - 3z_(2))/(3 - z_(1) barz_(2))| = 1 , |z_(1)| ne 3` then `|z_(2)|=`

A

1

B

2

C

3

D

4

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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. If (5z2)/(7z1) is purely imaginary , then |(2z1+3z2)/(2z1-3z2)|=

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  2. If alpha and betaare different complex numbers with |beta| =1 , then |...

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  3. If z(1) , z(2) are two complex numbers satisfying |(z(1) - 3z(2))/(3 -...

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  4. If |z-4/z|=2 , then the maximum value |z| is equal to

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  5. The minimum value of |z-1|+ |z-5| is

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  6. If |z + 2- i| = 5 then the maximum value of |3z- 9 - 7i| is

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  7. The minimum value of |z - 1| + | z- 2| + |z -3| + |z - 4|+ |z - 5| i...

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  8. If |z+ 4| le 3 then the maximum value of |z + 1|

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  9. If |z(1)| = |z(2)| = |z(3)| = … |z(n)| = 1 , then |z(1) + z(2) + z(3) ...

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  10. If the equation (1 + i)^(x) = 2^(x) , has integer solution , has the o...

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  11. If z is a complex number satisfying z^(4) + z^(3) + 2z^(2) + z + 1 = 0...

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  12. The complex number z satisfying z^(2) + |z| = 0 is

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  13. If z is a complex number satisfying the relation |z+1| = z + 2 (1 +i) ...

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

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  15. If z(z), z(2) are two non-zero complex numbers satisfying |z(2)+z(2)|=...

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  16. If |z(1) + z(2)| = |z(1) - z(2)| then the difference in the arguments ...

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  17. The mod-amplitude form of (1 + 7i)/((2 - i)^(2)) is

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  18. The mod -amplitude form of 1+itan theta is

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  19. Let z,w be complex number such that barz+ibarw=0 and arg zw =pi . Then...

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  20. If (a(1) + ib(1)) (a(2) + ib(2)) … (a(n) + ib(n)) = A + iB then Tan^...

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