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Express the following complex numbers in...

Express the following complex numbers in the polar form : `-1 - i`

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Write the following complex numbers in the polar form : 1- i

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Express the following complex numbers in the polar form : 2 + sqrt(3) i

Express the following complex numbers in the polar form. (2 + 6sqrt(3)i)/(5 + sqrt(3) i)

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Convert each of the complex number in the polar form: i

Convert each of the complex number in the polar form: -1+i

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FULL MARKS-COMPLEX NUMBERS -ADDITIONAL QUESTIONS SOLVED
  1. Express the following complex numbers in the polar form : 2 + sqrt(3) ...

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  2. Find the modulus and principal argument of the following complex numbe...

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  3. Express the following complex numbers in the polar form : -1 - i

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  4. Express the following complex numbers in the polar form : 1 - i

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  5. Evaluate i^(50)

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  6. Evaluate i^(59)

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  7. Prove that : (1 + i)^(4n) and (1 + i)^(4n + 2) are real and purely ima...

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  8. If x = cos alpha + i sin alpha , y = cos beta + i sin beta, prove that...

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  9. If a = cos 2alpha + i sin 2 alpha, b = cos 2 beta + i sin 2 beta and c...

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  10. Solve : x^4 + 4 = 0

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  11. If x = a + b, y = a omega + b omega^2, z = aomega^2 + b omega, show th...

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  12. ((1 - i)/(1+ i))^(100) = a + ib then (a,b) is ……….

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  13. If ((1 + i)/(1 - i))^(3) - ((1 - i)/(1 + i))^(3) = x + iy then (x, y) ...

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  14. Evaluate i^(60)

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  15. Fill in the blanks of the following : For any two complex numbers z1...

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  16. Multiplicative inverse of 1 + i is ………..

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  17. arg(z) + arg(barz) (z != 0) is ………..

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  18. If |z| = 4 and arg(z) = (5pi)/6, then z = …………..

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  19. If a = cos 2alpha + i sin 2 alpha, b = cos 2 beta + i sin 2 beta and c...

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  20. If p +iq = (a + ib)/(a - ib) then p^2 + q^2 = …………

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