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MODERN PUBLICATION-COMPLEX NUMBERS-Questions from karnataka CET & COMED
- If 2x=-1+sqrt(3)i, then the value of (1-x^(2)+x)^(6)-(1-x+x^(2))^(6)=
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- If (1+i)(1+2i)(1+3i).......(1+ni)=x+iy, then 2.5.10.........(1+n^(2))=
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- If 1,omega,omega^(2) are the cube roots of unity then : (1+omega)(1+om...
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- The modulus and amplitude of (1+2i)/(1-(1-i)^(2)) are respectively
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- The maximum value of |z| when z satisfies the condition |z+(2)/(z)|=2 ...
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- If z is a complex number with |z|=1 and z+(1)/(z)=x+iy, then xy=
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- Among the complex numbers, z satisfying |z+1-i| le 1, the number havin...
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- The maximum value of n lt 101 such that 1+sum(k=1)^(n)i^(k)=0 is
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- The argument of the complex number sin((6pi)/(5))+i(1+cos.(6pi)/(5)) i...
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- The value of (-1+sqrt(3))^(62)+(-1-sqrt(-3))^(62) is
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- All complex numers z, which satisfy the equation |(z-i)/(z+i)|=1 lie o...
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- If alpha and beta two different complex numbers with |beta|=1, then |(...
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- Amplitude of the complex number isin((pi)/(19)) is
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- If 1,omega,omega^(2) are three cube roots of unity, then (1-omega+omeg...
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- If z = ((sqrt(3)+i)^(3)(3i+4)^(2))/((8+6i)^(2)) , then |z| is equal t...
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