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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
- The complex number z has argument, 0ltthetalt(pi)(2) and satisfy the e...
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- The inequality |z-4|lt|z-2| represents the region given by
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- The smallest positive integer n for which (1+i sqrt(3))^(n / 2) is rea...
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- If x^(2)+x+1=0, then sum(r=1)^(2005)(x^(r)+(1)/(x^(r)))^(3)=
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- If z(1), z(2), z(3) be vertices of an equilateral triangle occurring ...
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- If z(1), z(2) are two complex numbers such that Im(z(1)+z(2))=0 and Im...
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- If alpha is an imaginary fifth root of unity then log (2)|1+alpha+alph...
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- If |z+bar(z)|+|z-bar(z)|=8 then z lies on
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- The equation |z+i|-|z-i|=k represents a hyperbola, if
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- If |z|=k and w=(z-k)/(z+k), then Re (w)=
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- If z is a complex number satisfying z^(4)+z^(3)+2 z^(2)+z+1=0 then |z|...
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- If alpha is a non-real fifth root of unity, then 3^(|1+alpha+a^(2)+a^(...
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- If alpha is a non-real fourth roots of unity, then the values of alpha...
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- If x^(2)-x+1=0 then the value of sum(n=1)^(5)(x^(n)+(1)/(x^(n)))^(2) ...
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- If arg (z)lttheta, then arg (-z)-arg (z)=
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- If (sqrt(3)-i)^(n)=2^(n), n in Z, then n is a multiple of
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- The least positive integer n for which (sqrt(3)+i)^(n)=(sqrt(3)-i)^(n)...
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- If w is a complex cube roots of unity, then arg (i w)+arg (i w^(2))=
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- If z(2-2 sqrt(3) i)^(2)=i(sqrt(3)+i)^(4) then arg z=
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