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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
- Let z=1-t+isqrt(t^2+t+2), where t is real parameter. The locus of z in...
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- If absz=min{abs(z-1), abs(z+1)}, then
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- If z1 and z2 be two complex numbers such that abs(z1+z2)=abs(z1) +abs(...
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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+...
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- If omega is the imaginary cube root of 1 then prove that (a+bomega+com...
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- If z1=a+ib and z2=c+id, a, b, c, dinR, be two complex numbers such tha...
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- The sum of the series 2(omega+1)(omega^2+1)+3(2omega+1)(2omega^2+1)+...
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- If abs(z-2-2i)=1, then the minimum value of absz is
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- The point represented by the complex number 2-i is rotated about origi...
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- z1 and z2 be two complex no. then prove that abs(z1+z2)^2+abs(z1-z2)^2...
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- For all complex numbers z1, z2 satisfying absz1=12 and abs(z2-3-4i)=5,...
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- if z and w are two non-zero complex numbers such that absz=absw and ar...
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- If z1, z2, z3, z4 represent the vertices of a rhombus in anticlockwise...
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- If (x+iy)^7=a+ib, then (y+ix)^7 is equal to
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- (1+i)^(n1)+(1+i^3)^(n1)+(1+i^5)^(n2)+(1+i^7)^(n2) is a real number if
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- The value of underset(k=1)overset10sum(-sin((2kpi)/11)+icos((2kpi)/11)...
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- If amp(z1z2)=0 and absz1=absz2=1, then
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- if z1, z2, z3 are the vertices pf an equilateral triangle inscribed in...
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- if amp (z-1)/(z+1)=pi/3, then the locus of z is
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- If e^(ialpha)=cosalpha+isinalpha, then for the DeltaABC, the value of ...
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