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The system of equations abs(z+1-i)=sqrt2...

The system of equations `abs(z+1-i)=sqrt2 ,absz=3` has

A

a unique solution

B

two solution

C

no solution

D

None of these

Text Solution

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The correct Answer is:
C
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. The number of solution of the system of equations Re(z^2)=0, absz=2 is

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  2. z1, z2, z3 are three points lying on the circle absz=1 , maximum value...

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  3. The system of equations abs(z+1-i)=sqrt2 ,absz=3 has

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

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  5. If z1 and z2 be two complex numbers such that abszle1, absz2le1, abs(z...

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  6. If z^4=(z-1)^4, then the roots are represented in the Argand plane by ...

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  7. Let z=1-t+isqrt(t^2+t+2), where t is real parameter. The locus of z in...

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  8. If absz=min{abs(z-1), abs(z+1)}, then

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  9. If z1 and z2 be two complex numbers such that abs(z1+z2)=abs(z1) +abs(...

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  10. if z^2+z+1=0, then the value of (z+1/z)^2+(z^2+1/z^2)^2+(z^3+1/z^3)^2+...

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  11. If omega is the imaginary cube root of 1 then prove that (a+bomega+com...

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  12. If z1=a+ib and z2=c+id, a, b, c, dinR, be two complex numbers such tha...

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  13. The sum of the series 2(omega+1)(omega^2+1)+3(2omega+1)(2omega^2+1)+...

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  14. If abs(z-2-2i)=1, then the minimum value of absz is

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  15. The point represented by the complex number 2-i is rotated about origi...

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  16. z1 and z2 be two complex no. then prove that abs(z1+z2)^2+abs(z1-z2)^2...

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  17. For all complex numbers z1, z2 satisfying absz1=12 and abs(z2-3-4i)=5,...

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  18. if z and w are two non-zero complex numbers such that absz=absw and ar...

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  19. If z1, z2, z3, z4 represent the vertices of a rhombus in anticlockwise...

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  20. If (x+iy)^7=a+ib, then (y+ix)^7 is equal to

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