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If abs(z-i)le2 and z0=5+3i then the maxi...

If `abs(z-i)le2` and `z_0=5+3i` then the maximum value of `abs(absiz+z_0)` is

A

`2+sqrt31`

B

7

C

`sqrt31-2`

D

none of these

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The correct Answer is:
B
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
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  2. If z1,z2,z3 are three complex numbers and A= abs[[argz1,argz2,argz3],...

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  3. If abs(z-i)le2 and z0=5+3i then the maximum value of abs(absiz+z0) is

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  4. If z(Re z ne2) be a complex number such that z^2-4z=absz^2+16/absz^3 t...

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  5. Let z=x+iy be a complex number where x and y are integers then the are...

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  6. If z and w are two nonzero complex numbers such the abs(zw)=1 and arg...

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  7. if log(1/2)(( absz^2+2absz+4)/(2absz^2+1))lt0 then the region traced b...

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  8. If abs(z-2-i)=abszabssin(pi/4-argz) then locus of z is

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  9. If z=3/(2+costheta+isintheta) then show that z lies on a circle in the...

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  10. If z=iloge(2-sqrt3) then the value of cosz

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  11. If alpha is the nth root of unity then 1+2alpha+3alpha^2+….to n terms ...

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  12. If a=cosalpha+isinalpha , b=cosbeta+isinbeta , c=cosgamma+isingamma an...

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  13. If alpha=cos((8pi)/11+isin((8pi)/11 then Re(alpha+alpha^2+alpha^3+alph...

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  14. If z be any complex number such that abs(3z-2)+abs(3z+2)=4 then locus ...

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  15. x^(3m)+x^(3n-1)+x^(3r-2) where m,n,r in N is divisible by

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  16. A fourth root of -1 is

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  17. If z1=a+ib and z2=c+id are complex numbers such that abs(z1)=abs(z2)=1...

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  18. Let z1 and z2 be complex numbers such that z1 nez2 and absz1=absz2 if ...

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  19. If (x+2)^3-27=0 then a value of x is

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