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

If `|z+4| le 3`, then the maximum value of `|z+1|` is

A

5

B

4

C

6

D

none of these

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. ((-1+i sqrt(3))/(2))^(50)+((-1-i sqrt(3))/(2))^(50)=

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  2. Among the complex numbers, z satisfying |z+1-i| le 1, the number havin...

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

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  4. If z(1)=sqrt(3)-i, z(2)=1+i sqrt(3), then amp(z(1)+z(2))=

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  5. If x(r)=cos. (pi)/(2^(r))+ isin. (pi)/(2^(r)), then x(1)x(2)x(3)....oo...

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  6. The product of the values of (cos ((pi)/(3))+i sin( (pi)/(3)))^(3 / 4)...

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  7. The inequality |z-4|lt|z-2| represents the region given by

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  8. If z=x+i y is a variable complex number such that arg ((z-1)/(z+1))=(p...

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

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  10. The conjugate of a complex number is (1)/(i-1). Then the complex numbe...

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  11. If |z-(4)/(z)|=2 then the maximum value of |z| is

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  12. If alpha and beta are the root of the equation x^(2)-x+1=0 then alpha...

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  13. The number of complex numbers z such that |z-1|=|z+1|=|z-i| equals

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  14. If (omega ne 1) is a cube root of unity and (1+omega)^(7)=A+Bomega. Th...

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  15. If |z|=1 and z ne pm 1, then all the values of (z)/(1-z^(2)) lie on

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  16. Points z in the complex plane satisfying Re(z+1)^(2)=|z|^(2)+1 lies on

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  17. Let omega be the complex number cos (2 pi)/(3)+i sin (2 pi)/(3) . Then...

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  18. If |w|=1, then the set of points z=w+(1)/(w) is contained in or equal ...

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  19. i^(2)+i^(4)+i^(6)+ldots . .(2 n+1) terms =

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  20. The value of sum(k=1)^(6)("sin"(2pik)/(7)-I"cos"(2pik)/(7)) is

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