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The minimum value of |z - 1| + | z- 2|...

The minimum value of
`|z - 1| + | z- 2| + |z -3| + |z - 4|+ |z - 5|` is

A

3

B

5

C

7

D

6

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. The minimum value of |z-1|+ |z-5| is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If z and omega are two non-zero complex numbers such that |zomega| =1...

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  18. If z is a complex number of unit modulus and argument theta then, arg ...

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  19. sqrt(4ab - 2i (a^(2) - b^(2) ) =

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  20. x + isqrt(x^(4) + x^(2) + 1)) =

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