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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
- 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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- The conjugate of (2-3 i)/(3+4 i) is
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- The modulus of (sqrt(3)+i)/((1+i)(1+sqrt(3) i)) is
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- The modulus of ((3+i)(2-i))/(1+i) is
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- |(1)/((2+i)^(2))-(1)/((2-i)^(2))|
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- If |z(1)|=|z(2)|=…... .=|z(n)|=1 then |z(1)+z(2)+ .+z(n)|=
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- If z(1),z(2),z(3) are complex numbers such that : |z(1)|=|z(2)|=|z(3)|...
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- The amplitude of (-1)^(5) is
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