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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
- If P represents z=x+iy in the argand plane and abs(z+1-i)=abs(z+i-1) t...
02:52
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- If alpha/a+beta/b+gamma/c=1+i and a/alpha+b/beta+c/gamma=0, then the v...
03:28
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- The number of solution of the system of equations Re(z^2)=0, absz=2 is
03:26
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- z1, z2, z3 are three points lying on the circle absz=1 , maximum value...
04:37
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- The system of equations abs(z+1-i)=sqrt2 ,absz=3 has
04:00
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- If z1=a+ib and z2=c+id are complex numbers such that abs(z1)=abs(z2)=1...
07:32
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- If z1 and z2 be two complex numbers such that abszle1, absz2le1, abs(z...
15:18
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- If z^4=(z-1)^4, then the roots are represented in the Argand plane by ...
03:47
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- Let z=1-t+isqrt(t^2+t+2), where t is real parameter. The locus of z in...
02:47
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- If absz=min{abs(z-1), abs(z+1)}, then
04:46
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- If z1 and z2 be two complex numbers such that abs(z1+z2)=abs(z1) +abs(...
06:19
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- 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+...
05:26
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- If omega is the imaginary cube root of 1 then prove that (a+bomega+com...
10:44
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- If z1=a+ib and z2=c+id, a, b, c, dinR, be two complex numbers such tha...
07:32
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- The sum of the series 2(omega+1)(omega^2+1)+3(2omega+1)(2omega^2+1)+...
03:26
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- If abs(z-2-2i)=1, then the minimum value of absz is
02:39
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- The point represented by the complex number 2-i is rotated about origi...
02:49
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- z1 and z2 be two complex no. then prove that abs(z1+z2)^2+abs(z1-z2)^2...
03:33
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- For all complex numbers z1, z2 satisfying absz1=12 and abs(z2-3-4i)=5,...
05:05
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- if z and w are two non-zero complex numbers such that absz=absw and ar...
03:16
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