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MODERN PUBLICATION-COMPLEX NUMBERS-CHAPTER TEST
- Can two different points in the complex plane represent the same compl...
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- Number of solutions of the equation z^(2)+|z|^(2)=0, where z in C, is
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- i^(-35) is equal to:
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- Show that if iz^3+z^2-z+i=0, then |z|=1
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- Evaluate : [i^(18)+(1/i)^(25)]^3
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- Find the reciprocal of 3-4i.
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- For any positive integer n, prove that: i^(n)+i^(n+1)+i^(n+2)+i^(n+3...
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- If z1=2-i ,\ +2=-2+i , find : R e((z1z2)/(z1))
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- If alphaand betaare different complex numbers with |beta|=1,then fin...
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- If a^(2)+b^(2)=1, prove that (1+b+ia)/(1+b-ia)=b+ia.
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- Solve the equation: x^2+x/(sqrt(2))+1=0
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- Given that (a(1)+ib(1))(a(2)+ib(2)) . . . .(a(n)+ib(n))=c+id, show tha...
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- If (a+i b)/(c+i d)=x+i y , prove that (a-i b)/(c-i d)=x-i ya n d(a^2+b...
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