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

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

A

a pair of straight lines

B

circle

C

parabola

D

ellipse

Text Solution

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The correct Answer is:
C
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. If z and w are two nonzero complex numbers such the abs(zw)=1 and arg...

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

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

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

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

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

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

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

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

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

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  11. A fourth root of -1 is

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

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

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

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  15. If absomega=1 then the set of points z=omega+1/omega is contained in o...

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  16. If z1 lies on absz=1 and z2 lies on absz=2 then

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  17. IfA(z1),B(z2),C(z3) and D(z4) be the vertices of the square ABCD then

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  18. If z1 and z2 are non zero complex numbers such that abs(z1-z2)=absz1+a...

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  19. The reflection of the complex number (2-i)/(3+i) where (i=sqrt(-1)in t...

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  20. If alpha is a complex constant such that alphaz^2+z+baralpha=0 has are...

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