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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
- The smallest positive integer n for which (1+i)^(n) is purely imaginar...
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- If z(1)=sqrt(3)+i sqrt(3) and z(2)=sqrt(3)+i then the complex number (...
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- Evaluate (1+i)^(6) + (1-i)^(3)
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- If i^(2)=-1 then i+i^(2)+i^(3)+…..... . upto 1000 terms is equal to
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- If (i^(4)+i^(9)+i^(26))/(2-i^(8)+i^(10)-i^(15))=A+i B then (A, B)=
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- The value of ((1+i)/(1-i))^(4 n)=
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- If n is any positive integer then the value of (i^(4 n+1)-i^(4 m-1))/(...
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- If n=4 m+3, m is an integer then i^(n)=
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- If ((1+i)/(1-i))^(3)-((1-i)/(1+i))^(3)=x+i y then (x, y)=
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- (1+i)^(2 n)+(1-i)^(2 n), n in z is
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- If (a+i b)^(5)=alpha+i beta then (b+i a)^(5)=
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- The multiplicative inverse of (1+i)/(1-i) is
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- Let z=x+ iy then z . bar(z)=0 if and only if
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- If x+i y=(1)/(1+cos theta+i sin theta) then x^(2)
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- Imaginary part of (1)/(1+cos theta-i sin theta) is
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- The real part of (1)/(1-cos theta+i sin theta) is
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- If alpha is a complex number such that alpha^(2)+alpha+1=0 then alpha...
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- If 3+i x^(2) y and x^(2)+y+4 i are conjugate complex numbers then x^(2...
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- Conjugate of (1+2 i)(2-3 i) is
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- The conjugate of the complex number (1+i)^(3)+(1)/(i) is
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