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Evaluate : i^(135)...

Evaluate :
`i^(135)`

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CENGAGE PUBLICATION-COMPLEX NUMBERS-ILLUSTRATION
  1. Show that the equation Z^4+2Z^3+3Z^2+4Z+5=0 has no root which is eithe...

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  2. Find the square root of the following: 5+12 i

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  3. Evaluate : i^(135)

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  4. Solve for z : z^2-(3-2i)z=(5i-5)dot

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  5. Solve the equation (x-1)^3+8=0 in the set C of all complex numbers.

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  6. If n is n odd integer that is greater than or equal to 3 but not a mul...

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  7. omega is an imaginary root of unity. Prove that If a+b+c = 0 th...

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  8. Find the complex number omega satisfying the equation z^3-8i and lying...

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  9. (1)/(a + omega) + (1)/(b+omega) +(1)/(c + omega) + (1)/(d + omega) =(1...

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  10. If sec alpha and alpha are the roots of x^2-p x+q=0, then (a) p^2=q(q-...

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  11. Let z(1)= cos 12^(@) + I sin 12^(@) and z(2) = cos 48^(@) + i. sin 4...

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  12. Covert the complex number z = 1 + cos (8pi)/(5) + i. sin (8pi)/(5) in ...

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  13. Let z and w be two nonzero complex numbers such that |z|=|w| and arg...

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  14. Find nonzero integral solutions of |1-i|^x=2^xdot

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  15. Let z be a complex number satisfying |z| = 3 |z-1|. Then prove that ...

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  16. If complex number z=x +iy satisfies the equation Re (z+1) = |z-1|, th...

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  17. Solve the equation |z|=z+1+2idot

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  18. Find the range of real number alpha for which the equation z+alpha|z-1...

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  19. Find the Area bounded by complex numbers arg|z|lepi/4 and |z-1|lt|z-3|

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  20. Prove that traingle by complex numbers z(1),z(2) and z(3) is equilate...

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