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The number of solution of the system of ...

The number of solution of the system of equations `Re(z^2)=0, absz=2` is

A

4

B

3

C

2

D

1

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The correct Answer is:
A
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
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  2. If alpha/a+beta/b+gamma/c=1+i and a/alpha+b/beta+c/gamma=0, then the v...

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  3. The number of solution of the system of equations Re(z^2)=0, absz=2 is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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