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A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
- If i^2=-1 then the value of sum(n=1)^200 i^n is
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- Find the smallest positive integer value of n for which ((1+i)^n)/((1-...
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- The digit in the units place in the value of (727)^39 is
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- If n is an integer, not a multiple of 3, the sum of w^n+w^(2n),w bein...
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- If alpha=root(3)(1) and alpha is not real then alpha^(3n+1)+alpha^(3n+...
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- If 1,omega,omega^(2) are the cube roots of unity, then the roots of t...
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- If z is a complex number then
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- If z=ibarz then
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- The value of sqrti is
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- Prove that (sqrt(3)/(2) +(i)/(2))^(5) + (sqrt(3)/(2) -(i)/(2))^(5) is...
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- If zr = sinfrac(2pir)(11)-icosfrac(2rpi)(11) then : the value of sum(r...
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- If zr = sinfrac(2pir)(11)-icosfrac(2rpi)(11) then : the value of sum(r...
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- The complex numbers sin x - i cos 2x and cos x - i sin 2x are conjugat...
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- If |z1|= |z2|=1 and amp z1+ampz2=0 then
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- If z1 and z2 are two non zero complex number such that|z1+z2|=|z1|+|z2...
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- The inequality |z+2| lt |z-2| represents the region given by
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- Let z1 and z2 be complex numbers of such that z1!=z2 and |z1|=|z2|. I...
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- If z1=aib and z2=c+id are complex numbes such that |z1|=|z2|=1 and Re(...
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- if |z1|= |z2| ne 0 and amp (z1)/(z2)=pi then
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- If z1 and z2 are two nonzero complex numbers such that |z1-z2|=|z1|-|z...
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