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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
- 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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- If ((3)/(2)+(i sqrt(3))/(2))^(28)=3^(14)(x+i y) then (x, y)= (where x ...
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- If 1, alpha(1), alpha(2), …., alpha(n-1) are the n^(text (th ) roots o...
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- The argument of (1-i sqrt(3))/(1+i sqrt(3))=
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- Let z(1) and z(2) be two complex numbers such that |z(1)+z(2)|^(2)=|z(...
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- If z is purely imaginary then and Im(z)gt0, then amp(z)=
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- If n is an odd integer, then (1+i)^(6 n)+(1-i)^(6 n) is equal to
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- The amplitude of "sin"(pi)/(5)+i(1-"cos"(pi)/(5)) is
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- Number of solutions of the equation z^(2)+|z|^(2)=0 is
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- The equation |z+1-i|=|z-1+i| represents a
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- The area of the triangle on the complex plane formed by the complex nu...
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- If the complex number z=x+ iy satisfies the condition |z+1|=1, then z ...
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- 1+i^(2)+i^(4)+i^(6)+... .+i^(2 n)=
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- If f(z)=(7-z)/(1-z^(2)), where z=1+2 i, then |f(z)| is
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- The value of arg (x) when xlt0 is
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- The real value of thetafor which the expression is (1+icos theta)/(1...
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- |z(1)+z(2)|=|z(1)|+|z(2)| is possible if
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- If z is a complex number then
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