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FULL MARKS-COMPLEX NUMBERS -ADDITIONAL QUESTIONS SOLVED
- Express the following complex numbers in the polar form : 1 - i
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- Evaluate i^(50)
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- Evaluate i^(59)
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- Prove that : (1 + i)^(4n) and (1 + i)^(4n + 2) are real and purely ima...
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- If x = cos alpha + i sin alpha , y = cos beta + i sin beta, prove that...
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- If a = cos 2alpha + i sin 2 alpha, b = cos 2 beta + i sin 2 beta and c...
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- Solve : x^4 + 4 = 0
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- If x = a + b, y = a omega + b omega^2, z = aomega^2 + b omega, show th...
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- ((1 - i)/(1+ i))^(100) = a + ib then (a,b) is ……….
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- If ((1 + i)/(1 - i))^(3) - ((1 - i)/(1 + i))^(3) = x + iy then (x, y) ...
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- Evaluate i^(60)
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- Fill in the blanks of the following : For any two complex numbers z1...
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- Multiplicative inverse of 1 + i is ………..
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- arg(z) + arg(barz) (z != 0) is ………..
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- If |z| = 4 and arg(z) = (5pi)/6, then z = …………..
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- If a = cos 2alpha + i sin 2 alpha, b = cos 2 beta + i sin 2 beta and c...
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- If p +iq = (a + ib)/(a - ib) then p^2 + q^2 = …………
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- Evaluate i^(78)
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- If a =cos alpha - i sin alpha, b= cos beta - i sin beta, c = cos gamma...
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- If z(1)=4+5i and z(2)=-3+2i that (z(1))/(z(2)) is :
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